Search a number
-
+
53435952 = 2432371083
BaseRepresentation
bin1100101111010…
…1111000110000
310201112211100100
43023311320300
5102134422302
65145152400
71216124643
oct313657060
9121484310
1053435952
1128188249
1215a8b700
13b0bc30b
14714da5a
154a57d1c
hex32f5e30

53435952 has 30 divisors (see below), whose sum is σ = 149546852. Its totient is φ = 17811936.

The previous prime is 53435933. The next prime is 53435959. The reversal of 53435952 is 25953435.

53435952 is a `hidden beast` number, since 534 + 35 + 95 + 2 = 666.

It is a super-2 number, since 2×534359522 = 5710801932292608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (53435959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185398 + ... + 185685.

Almost surely, 253435952 is an apocalyptic number.

It is an amenable number.

53435952 is an abundant number, since it is smaller than the sum of its proper divisors (96110900).

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

53435952 is a wasteful number, since it uses less digits than its factorization.

53435952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371097 (or 371088 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 53435952 is about 7309.9898768740. The cubic root of 53435952 is about 376.6556765356.

The spelling of 53435952 in words is "fifty-three million, four hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 371083 742166 1113249 1484332 2226498 2968664 3339747 4452996 5937328 6679494 8905992 13358988 17811984 26717976 53435952