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401555232 = 25341317701
BaseRepresentation
bin10111111011110…
…011111100100000
31000222121010020000
4113323303330200
51310244231412
6103502420000
712644106651
oct2773637440
91028533200
10401555232
11196738431
12b2591600
1365267460
143b48b528
15253be4dc
hex17ef3f20

401555232 has 240 divisors, whose sum is σ = 1348539192. Its totient is φ = 116121600.

The previous prime is 401555213. The next prime is 401555233. The reversal of 401555232 is 232555104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379314576 + 22240656 = 19476^2 + 4716^2 .

It is a super-2 number, since 2×4015552322 = 322493208693147648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 401555196 and 401555205.

It is not an unprimeable number, because it can be changed into a prime (401555233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572482 + ... + 573182.

Almost surely, 2401555232 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 401555232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674269596).

401555232 is an abundant number, since it is smaller than the sum of its proper divisors (946983960).

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

401555232 is a wasteful number, since it uses less digits than its factorization.

401555232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 401555232 is about 20038.8430803777. The cubic root of 401555232 is about 737.7599854045.

The spelling of 401555232 in words is "four hundred one million, five hundred fifty-five thousand, two hundred thirty-two".