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401152032 = 25321392889
BaseRepresentation
bin10111111010010…
…001100000100000
31000221211122010200
4113322101200200
51310143331112
6103450025200
712640510311
oct2772214040
91027748120
10401152032
11196492506
12b2418200
1365155a88
143b3c4608
152533ecdc
hex17e91820

401152032 has 36 divisors (see below), whose sum is σ = 1140776910. Its totient is φ = 133717248.

The previous prime is 401152007. The next prime is 401152049. The reversal of 401152032 is 230251104.

It can be written as a sum of positive squares in only one way, i.e., 400160016 + 992016 = 20004^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401151996 and 401152014.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696157 + ... + 696732.

Almost surely, 2401152032 is an apocalyptic number.

It is an amenable number.

401152032 is an abundant number, since it is smaller than the sum of its proper divisors (739624878).

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

401152032 is a wasteful number, since it uses less digits than its factorization.

401152032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392905 (or 1392894 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401152032 is about 20028.7800926567. The cubic root of 401152032 is about 737.5129754300.

The spelling of 401152032 in words is "four hundred one million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1392889 2785778 4178667 5571556 8357334 11143112 12536001 16714668 22286224 25072002 33429336 44572448 50144004 66858672 100288008 133717344 200576016 401152032