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1026945738 = 2327132291663
BaseRepresentation
bin111101001101011…
…111001011001010
32122120101020201100
4331031133023022
54100344230423
6245523002230
734306615620
oct7515371312
92576336640
101026945738
11487758595
12247b09376
131349b2c00
149a563510
1560255343
hex3d35f2ca

1026945738 has 144 divisors (see below), whose sum is σ = 2850232320. Its totient is φ = 261346176.

The previous prime is 1026945683. The next prime is 1026945739. The reversal of 1026945738 is 8375496201.

1026945738 is a `hidden beast` number, since 10 + 2 + 69 + 4 + 573 + 8 = 666.

1026945738 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1026945738 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1026945693 and 1026945702.

It is not an unprimeable number, because it can be changed into a prime (1026945739) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 616695 + ... + 618357.

It is an arithmetic number, because the mean of its divisors is an integer number (19793280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1026945738 = 2053891476, but 3⋅1026945738 = 3080837214 is not.

Almost surely, 21026945738 is an apocalyptic number.

1026945738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026945738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425116160).

1026945738 is an abundant number, since it is smaller than the sum of its proper divisors (1823286582).

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

1026945738 is a wasteful number, since it uses less digits than its factorization.

1026945738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1717 counting only the distinct ones).

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

The square root of 1026945738 is about 32045.9941022275. The cubic root of 1026945738 is about 1008.9024243260.

The spelling of 1026945738 in words is "one billion, twenty-six million, nine hundred forty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 169 174 182 203 234 261 273 338 377 406 507 522 546 609 754 819 1014 1131 1183 1218 1521 1638 1663 1827 2262 2366 2639 3042 3326 3393 3549 3654 4901 4989 5278 6786 7098 7917 9802 9978 10647 11641 14703 14967 15834 21294 21619 23282 23751 29406 29934 34307 34923 43238 44109 47502 48227 64857 68614 69846 88218 96454 102921 104769 129714 144681 151333 194571 205842 209538 281047 289362 302666 308763 337589 389142 434043 453999 562094 617526 626951 675178 843141 868086 907998 1012767 1253902 1361997 1686282 1880853 1967329 2025534 2529423 2723994 3038301 3761706 3934658 4388657 5058846 5642559 5901987 6076602 8150363 8777314 11285118 11803974 13165971 16300726 17705961 24451089 26331942 35411922 39497913 48902178 57052541 73353267 78995826 114105082 146706534 171157623 342315246 513472869 1026945738