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401365504 = 29799923
BaseRepresentation
bin10111111011000…
…101101000000000
31000222020110222001
4113323011220000
51310222144004
6103454353344
712642356551
oct2773055000
91028213861
10401365504
11196618931
12b24bb854
13651cbca7
143b43c328
15253831a4
hex17ec5a00

401365504 has 40 divisors (see below), whose sum is σ = 812180160. Its totient is φ = 198122496.

The previous prime is 401365499. The next prime is 401365511. The reversal of 401365504 is 405563104.

It is a super-2 number, since 2×4013655042 = 322188535602348032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35487 + ... + 45409.

It is an arithmetic number, because the mean of its divisors is an integer number (20304504).

Almost surely, 2401365504 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 401365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406090080).

401365504 is an abundant number, since it is smaller than the sum of its proper divisors (410814656).

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

401365504 is an frugal number, since it uses more digits than its factorization.

401365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 401365504 is about 20034.1085152297. The cubic root of 401365504 is about 737.6437740955.

The spelling of 401365504 in words is "four hundred one million, three hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 5056 9923 10112 19846 20224 39692 40448 79384 158768 317536 635072 783917 1270144 1567834 2540288 3135668 5080576 6271336 12542672 25085344 50170688 100341376 200682752 401365504