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52472832 = 2103192931
BaseRepresentation
bin1100100000101…
…0110000000000
310122201220012020
43020022300000
5101413112312
65112401440
71205004006
oct310126000
9118656166
1052472832
112768a685
12156a6280
13ab42b19
146d7ca76
15491778c
hex320ac00

52472832 has 176 divisors, whose sum is σ = 157209600. Its totient is φ = 15482880.

The previous prime is 52472807. The next prime is 52472837. The reversal of 52472832 is 23827425.

Its product of digits (26880) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 52472793 and 52472802.

It is not an unprimeable number, because it can be changed into a prime (52472837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692657 + ... + 1692687.

Almost surely, 252472832 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 52472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78604800).

52472832 is an abundant number, since it is smaller than the sum of its proper divisors (104736768).

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

52472832 is a wasteful number, since it uses less digits than its factorization.

52472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 52472832 is about 7243.8133603786. The cubic root of 52472832 is about 374.3790184750.

The spelling of 52472832 in words is "fifty-two million, four hundred seventy-two thousand, eight hundred thirty-two".