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40956096 = 26319103109
BaseRepresentation
bin1001110000111…
…1000011000000
32212001210012110
42130033003000
540441043341
64021455320
71005056346
oct234170300
985053173
1040956096
1121133a15
1211871540
13863ca9c
145621996
1538e0216
hex270f0c0

40956096 has 112 divisors (see below), whose sum is σ = 116230400. Its totient is φ = 12690432.

The previous prime is 40956079. The next prime is 40956127. The reversal of 40956096 is 69065904.

It is a super-2 number, since 2×409560962 = 3354803599122432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375690 + ... + 375798.

Almost surely, 240956096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58115200).

40956096 is an abundant number, since it is smaller than the sum of its proper divisors (75274304).

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

40956096 is a wasteful number, since it uses less digits than its factorization.

40956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 40956096 is about 6399.6949927321. The cubic root of 40956096 is about 344.6985983475.

The spelling of 40956096 in words is "forty million, nine hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 109 114 152 192 206 218 228 304 309 327 412 436 456 608 618 654 824 872 912 1216 1236 1308 1648 1744 1824 1957 2071 2472 2616 3296 3488 3648 3914 4142 4944 5232 5871 6213 6592 6976 7828 8284 9888 10464 11227 11742 12426 15656 16568 19776 20928 22454 23484 24852 31312 33136 33681 44908 46968 49704 62624 66272 67362 89816 93936 99408 125248 132544 134724 179632 187872 198816 213313 269448 359264 375744 397632 426626 538896 639939 718528 853252 1077792 1279878 1706504 2155584 2559756 3413008 5119512 6826016 10239024 13652032 20478048 40956096