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402256044 = 223411310987
BaseRepresentation
bin10111111110011…
…111000010101100
31001000220201120000
4113332133002230
51310434143134
6103525424300
712653056101
oct2776370254
91030821500
10402256044
11197076a13
12b286b090
1365451438
143b5d0aa8
15254abe99
hex17f9f0ac

402256044 has 60 divisors (see below), whose sum is σ = 1060979304. Its totient is φ = 132886656.

The previous prime is 402256037. The next prime is 402256051. The reversal of 402256044 is 440652204.

402256044 is a `hidden beast` number, since 40 + 22 + 560 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (402256037) and next prime (402256051).

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

It is a junction number, because it is equal to n+sod(n) for n = 402255999 and 402256017.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31119 + ... + 42105.

Almost surely, 2402256044 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 402256044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530489652).

402256044 is an abundant number, since it is smaller than the sum of its proper divisors (658723260).

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

402256044 is a wasteful number, since it uses less digits than its factorization.

402256044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 402256044 is about 20056.3217963813. The cubic root of 402256044 is about 738.1889264477.

The spelling of 402256044 in words is "four hundred two million, two hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 10987 12204 18306 21974 32961 36612 43948 65922 98883 131844 197766 296649 395532 593298 889947 1186596 1241531 1779894 2483062 3559788 3724593 4966124 7449186 11173779 14898372 22347558 33521337 44695116 67042674 100564011 134085348 201128022 402256044