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1390526748 = 22321337131613
BaseRepresentation
bin101001011100001…
…1100000100011100
310120220112002002200
41102320130010130
510321433323443
6345551451500
746313165562
oct12270340434
93526462080
101390526748
11653a09366
12329826b90
131921128c0
14d2967a32
1582122dd3
hex52e1c11c

1390526748 has 144 divisors (see below), whose sum is σ = 3923695776. Its totient is φ = 412439040.

The previous prime is 1390526743. The next prime is 1390526749. The reversal of 1390526748 is 8476250931.

1390526748 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1390526748 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390526743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2268090 + ... + 2268702.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1390526748 = 2781053496, but 3⋅1390526748 = 4171580244 is not.

It is a vampire number, since it can be written as 2390758164 (with its own digits).

Almost surely, 21390526748 is an apocalyptic number.

1390526748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390526748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961847888).

1390526748 is an abundant number, since it is smaller than the sum of its proper divisors (2533169028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1390526748 is a wasteful number, since it uses less digits than its factorization.

1390526748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1390526748 is about 37289.7673363619. The cubic root of 1390526748 is about 1116.1599859281.

The spelling of 1390526748 in words is "one billion, three hundred ninety million, five hundred twenty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 131 148 156 222 234 262 333 393 444 468 481 524 613 666 786 962 1179 1226 1332 1443 1572 1703 1839 1924 2358 2452 2886 3406 3678 4329 4716 4847 5109 5517 5772 6812 7356 7969 8658 9694 10218 11034 14541 15327 15938 17316 19388 20436 22068 22681 23907 29082 30654 31876 43623 45362 47814 58164 61308 63011 68043 71721 80303 87246 90724 95628 126022 136086 143442 160606 174492 189033 204129 240909 252044 272172 286884 294853 321212 378066 408258 481818 567099 589706 722727 756132 816516 884559 963636 1043939 1134198 1179412 1445454 1769118 2087878 2268396 2653677 2890908 2971211 3131817 3538236 4175756 5307354 5942422 6263634 8913633 9395451 10614708 11884844 12527268 17827266 18790902 26740899 35654532 37581804 38625743 53481798 77251486 106963596 115877229 154502972 231754458 347631687 463508916 695263374 1390526748