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401074956 = 223341531709
BaseRepresentation
bin10111111001111…
…110101100001100
31000221200201102000
4113321332230030
51310133344311
6103444232300
712640036512
oct2771765414
91027621360
10401074956
1119643a607
12b239b690
1365129979
143b3a44b2
1525327056
hex17e7eb0c

401074956 has 96 divisors (see below), whose sum is σ = 1085918400. Its totient is φ = 127895040.

The previous prime is 401074913. The next prime is 401074963. The reversal of 401074956 is 659470104.

It is a super-2 number, since 2×4010749562 = 321722240660803872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401074956.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233830 + ... + 235538.

It is an arithmetic number, because the mean of its divisors is an integer number (11311650).

Almost surely, 2401074956 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 401074956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542959200).

401074956 is an abundant number, since it is smaller than the sum of its proper divisors (684843444).

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

401074956 is a wasteful number, since it uses less digits than its factorization.

401074956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 401074956 is about 20026.8558690574. The cubic root of 401074956 is about 737.4657379851.

The spelling of 401074956 in words is "four hundred one million, seventy-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 82 106 108 123 159 164 212 246 318 369 477 492 636 738 954 1107 1431 1476 1709 1908 2173 2214 2862 3418 4346 4428 5127 5724 6519 6836 8692 10254 13038 15381 19557 20508 26076 30762 39114 46143 58671 61524 70069 78228 90577 92286 117342 140138 181154 184572 210207 234684 271731 280276 362308 420414 543462 630621 815193 840828 1086924 1261242 1630386 1891863 2445579 2522484 3260772 3713657 3783726 4891158 7427314 7567452 9782316 11140971 14854628 22281942 33422913 44563884 66845826 100268739 133691652 200537478 401074956