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401056428 = 223232989563
BaseRepresentation
bin10111111001111…
…010001010101100
31000221122202222210
4113321322022230
51310132301203
6103444010420
712636631503
oct2771721254
91027582883
10401056428
111964276a3
12b2390a10
13651213c6
143b39b83a
1525321803
hex17e7a2ac

401056428 has 96 divisors (see below), whose sum is σ = 1023321600. Its totient is φ = 121859584.

The previous prime is 401056421. The next prime is 401056471. The reversal of 401056428 is 824650104.

It is a junction number, because it is equal to n+sod(n) for n = 401056395 and 401056404.

It is not an unprimeable number, because it can be changed into a prime (401056421) by changing a digit.

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, 712075 + ... + 712637.

It is an arithmetic number, because the mean of its divisors is an integer number (10659600).

Almost surely, 2401056428 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 401056428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511660800).

401056428 is an abundant number, since it is smaller than the sum of its proper divisors (622265172).

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

401056428 is a wasteful number, since it uses less digits than its factorization.

401056428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 401056428 is about 20026.3932848629. The cubic root of 401056428 is about 737.4543818571.

The spelling of 401056428 in words is "four hundred one million, fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 89 92 116 138 174 178 267 276 348 356 534 563 667 1068 1126 1334 1689 2001 2047 2252 2581 2668 3378 4002 4094 5162 6141 6756 7743 8004 8188 10324 12282 12949 15486 16327 24564 25898 30972 32654 38847 48981 50107 51796 59363 65308 77694 97962 100214 118726 150321 155388 178089 195924 200428 237452 300642 356178 375521 601284 712356 751042 1126563 1152461 1453103 1502084 2253126 2304922 2906206 3457383 4359309 4506252 4609844 5812412 6914766 8718618 13829532 17437236 33421369 66842738 100264107 133685476 200528214 401056428