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47925252 = 22329291433
BaseRepresentation
bin1011011011010…
…0100000000100
310100011212002100
42312310200010
544232102002
64431112100
71121233524
oct266644004
9110155070
1047925252
1125063a51
1214072630
139c0cc4b
146517684
15431a11c
hex2db4804

47925252 has 36 divisors (see below), whose sum is σ = 121359420. Its totient is φ = 15946752.

The previous prime is 47925233. The next prime is 47925253. The reversal of 47925252 is 25252974.

It is a happy number.

47925252 is a `hidden beast` number, since 47 + 92 + 525 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17189316 + 30735936 = 4146^2 + 5544^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47925253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32728 + ... + 34160.

It is an arithmetic number, because the mean of its divisors is an integer number (3371095).

Almost surely, 247925252 is an apocalyptic number.

It is an amenable number.

47925252 is an abundant number, since it is smaller than the sum of its proper divisors (73434168).

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

47925252 is a wasteful number, since it uses less digits than its factorization.

47925252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2367 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 47925252 is about 6922.8066562631. The cubic root of 47925252 is about 363.2353731550.

The spelling of 47925252 in words is "forty-seven million, nine hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 929 1433 1858 2787 2866 3716 4299 5574 5732 8361 8598 11148 12897 16722 17196 25794 33444 51588 1331257 2662514 3993771 5325028 7987542 11981313 15975084 23962626 47925252