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1396471752 = 233413971709
BaseRepresentation
bin101001100111100…
…0111011111001000
310121022201010010000
41103033013133020
510324444044002
6350323123000
746414546134
oct12317073710
93538633100
101396471752
116572a9995
1232b813460
13193414860
14d36743c4
15828e961c
hex533c77c8

1396471752 has 160 divisors (see below), whose sum is σ = 4258207800. Its totient is φ = 425005056.

The previous prime is 1396471691. The next prime is 1396471777. The reversal of 1396471752 is 2571746931.

It can be written as a sum of positive squares in 4 ways, for example, as 702992196 + 693479556 = 26514^2 + 26334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1396471698 and 1396471707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 816274 + ... + 817982.

Almost surely, 21396471752 is an apocalyptic number.

1396471752 is a gapful number since it is divisible by the number (12) 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 1396471752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129103900).

1396471752 is an abundant number, since it is smaller than the sum of its proper divisors (2861736048).

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

1396471752 is a wasteful number, since it uses less digits than its factorization.

1396471752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1824 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 1396471752 is about 37369.3959276839. The cubic root of 1396471752 is about 1117.7483867491.

The spelling of 1396471752 in words is "one billion, three hundred ninety-six million, four hundred seventy-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 97 104 108 117 156 162 194 216 234 291 312 324 351 388 468 582 648 702 776 873 936 1053 1164 1261 1404 1709 1746 2106 2328 2522 2619 2808 3418 3492 3783 4212 5044 5127 5238 6836 6984 7566 7857 8424 10088 10254 10476 11349 13672 15132 15381 15714 20508 20952 22217 22698 30264 30762 31428 34047 41016 44434 45396 46143 61524 62856 66651 68094 88868 90792 92286 102141 123048 133302 136188 138429 165773 177736 184572 199953 204282 266604 272376 276858 331546 369144 399906 408564 497319 533208 553716 599859 663092 799812 817128 994638 1107432 1199718 1326184 1491957 1599624 1799577 1989276 2155049 2399436 2983914 3599154 3978552 4310098 4475871 4798872 5967828 6465147 7198308 8620196 8951742 11935656 12930294 13427613 14396616 17240392 17903484 19395441 25860588 26855226 35806968 38790882 51721176 53710452 58186323 77581764 107420904 116372646 155163528 174558969 232745292 349117938 465490584 698235876 1396471752