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401058924 = 22373139701
BaseRepresentation
bin10111111001111…
…010110001101100
31000221122220102020
4113321322301230
51310132341144
6103444030140
712636642000
oct2771726154
91027586366
10401058924
11196429562
12b2392350
1365122596
143b39c700
1525322419
hex17e7ac6c

401058924 has 96 divisors (see below), whose sum is σ = 1100736000. Its totient is φ = 113601600.

The previous prime is 401058913. The next prime is 401058941. The reversal of 401058924 is 429850104.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 571774 + ... + 572474.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2401058924 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 401058924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

401058924 is an abundant number, since it is smaller than the sum of its proper divisors (699677076).

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

401058924 is a wasteful number, since it uses less digits than its factorization.

401058924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 401058924 is about 20026.4556025274. The cubic root of 401058924 is about 737.4559117185.

The spelling of 401058924 in words is "four hundred one million, fifty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 343 417 556 588 686 701 834 973 1029 1372 1402 1668 1946 2058 2103 2804 2919 3892 4116 4206 4907 5838 6811 8412 9814 11676 13622 14721 19628 20433 27244 29442 34349 40866 47677 58884 68698 81732 95354 97439 103047 137396 143031 190708 194878 206094 240443 286062 292317 389756 412188 480886 572124 584634 682073 721329 961772 1169268 1364146 1442658 2046219 2728292 2885316 4092438 4774511 8184876 9549022 14323533 19098044 28647066 33421577 57294132 66843154 100264731 133686308 200529462 401058924