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401075633 = 7223215473
BaseRepresentation
bin10111111001111…
…110110110110001
31000221200202100002
4113321332312301
51310133410013
6103444235345
712640041500
oct2771766661
91027622302
10401075633
11196440072
12b239bb55
136512a07a
143b3a4837
1525327358
hex17e7edb1

401075633 has 18 divisors (see below), whose sum is σ = 487755954. Its totient is φ = 328810944.

The previous prime is 401075629. The next prime is 401075659. The reversal of 401075633 is 336570104.

It can be written as a sum of positive squares in only one way, i.e., 330985249 + 70090384 = 18193^2 + 8372^2 .

It is not a de Polignac number, because 401075633 - 22 = 401075629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401075596 and 401075605.

It is not an unprimeable number, because it can be changed into a prime (401075603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18185 + ... + 33657.

It is an arithmetic number, because the mean of its divisors is an integer number (27097553).

Almost surely, 2401075633 is an apocalyptic number.

It is an amenable number.

401075633 is a deficient number, since it is larger than the sum of its proper divisors (86680321).

401075633 is a wasteful number, since it uses less digits than its factorization.

401075633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15533 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 401075633 is about 20026.8727713540. The cubic root of 401075633 is about 737.4661529233.

The spelling of 401075633 in words is "four hundred one million, seventy-five thousand, six hundred thirty-three".

Divisors: 1 7 23 49 161 529 1127 3703 15473 25921 108311 355879 758177 2491153 8185217 17438071 57296519 401075633