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40163904 = 2633112113
BaseRepresentation
bin1001100100110…
…1101001000000
32210120112112000
42121031221000
540240221104
63552504000
7665246634
oct231155100
983515460
1040163904
1120742810
121154b000
138423331
145496dc4
1537d5639
hex264da40

40163904 has 112 divisors (see below), whose sum is σ = 128869440. Its totient is φ = 12165120.

The previous prime is 40163899. The next prime is 40163933. The reversal of 40163904 is 40936104.

It is a super-2 number, since 2×401639042 = 3226278369042432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 17952 + ... + 20064.

It is an arithmetic number, because the mean of its divisors is an integer number (1150620).

Almost surely, 240163904 is an apocalyptic number.

40163904 is a gapful number since it is divisible by the number (44) 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 40163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64434720).

40163904 is an abundant number, since it is smaller than the sum of its proper divisors (88705536).

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

40163904 is a wasteful number, since it uses less digits than its factorization.

40163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40163904 is about 6337.4998224852. The cubic root of 40163904 is about 342.4616725897.

The spelling of 40163904 in words is "forty million, one hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2113 2376 3168 4226 4752 6336 6339 8452 9504 12678 16904 19008 19017 23243 25356 33808 38034 46486 50712 57051 67616 69729 76068 92972 101424 114102 135232 139458 152136 185944 202848 209187 228204 278916 304272 371888 405696 418374 456408 557832 608544 627561 743776 836748 912816 1115664 1217088 1255122 1487552 1673496 1825632 2231328 2510244 3346992 3651264 4462656 5020488 6693984 10040976 13387968 20081952 40163904