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402164412 = 2231319241563
BaseRepresentation
bin10111111110001…
…000101010111100
31001000202001212020
4113332020222330
51310423230122
6103523440140
712652224666
oct2776105274
91030661766
10402164412
11197014091
12b2826050
136541b810
143b5a9536
152548ec5c
hex17f88abc

402164412 has 96 divisors (see below), whose sum is σ = 1070065920. Its totient is φ = 116536320.

The previous prime is 402164381. The next prime is 402164447. The reversal of 402164412 is 214461204.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 714043 + ... + 714605.

It is an arithmetic number, because the mean of its divisors is an integer number (11146520).

Almost surely, 2402164412 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 402164412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535032960).

402164412 is an abundant number, since it is smaller than the sum of its proper divisors (667901508).

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

402164412 is a wasteful number, since it uses less digits than its factorization.

402164412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 402164412 is about 20054.0372992572. The cubic root of 402164412 is about 738.1328702239.

The spelling of 402164412 in words is "four hundred two million, one hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 241 247 482 494 563 723 741 964 988 1126 1446 1482 1689 2252 2892 2964 3133 3378 4579 6266 6756 7319 9158 9399 10697 12532 13737 14638 18316 18798 21394 21957 27474 29276 32091 37596 42788 43914 54948 59527 64182 87828 119054 128364 135683 139061 178581 238108 271366 278122 357162 407049 417183 542732 556244 714324 814098 834366 1628196 1668732 1763879 2577977 3527758 5155954 5291637 7055516 7733931 10311908 10583274 15467862 21166548 30935724 33513701 67027402 100541103 134054804 201082206 402164412