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401358916 = 227171495659
BaseRepresentation
bin10111111011000…
…100000001000100
31000222020010221001
4113323010001010
51310221441131
6103454303044
712642331420
oct2773040104
91028203831
10401358916
11196613992
12b24b7a84
13651c8caa
143b439b80
1525381261
hex17ec4044

401358916 has 48 divisors (see below), whose sum is σ = 855792000. Its totient is φ = 160777728.

The previous prime is 401358913. The next prime is 401358929. The reversal of 401358916 is 619853104.

It is a super-2 number, since 2×4013589162 = 322177958905390112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401358913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68095 + ... + 73753.

It is an arithmetic number, because the mean of its divisors is an integer number (17829000).

Almost surely, 2401358916 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 401358916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427896000).

401358916 is an abundant number, since it is smaller than the sum of its proper divisors (454433084).

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

401358916 is a wasteful number, since it uses less digits than its factorization.

401358916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 401358916 is about 20033.9440949604. The cubic root of 401358916 is about 737.6397381867.

The spelling of 401358916 in words is "four hundred one million, three hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 149 238 298 476 596 1043 2086 2533 4172 5066 5659 10132 11318 17731 22636 35462 39613 70924 79226 96203 158452 192406 384812 673421 843191 1346842 1686382 2693684 3372764 5902337 11804674 14334247 23609348 28668494 57336988 100339729 200679458 401358916