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55775952 = 243443037
BaseRepresentation
bin1101010011000…
…1001011010000
310212221201020000
43110301023100
5103234312302
65311250000
71245042051
oct324611320
9125851200
1055775952
1129536331
1216819900
13b72b42b
14759c728
154d6b31c
hex35312d0

55775952 has 50 divisors (see below), whose sum is σ = 161435538. Its totient is φ = 18591552.

The previous prime is 55775947. The next prime is 55775969. The reversal of 55775952 is 25957755.

55775952 is a `hidden beast` number, since 5 + 57 + 7 + 595 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 25040016 = 5544^2 + 5004^2 .

It is a super-2 number, since 2×557759522 = 6221913643012608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55775898 and 55775907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20223 + ... + 22814.

Almost surely, 255775952 is an apocalyptic number.

It is an amenable number.

55775952 is an abundant number, since it is smaller than the sum of its proper divisors (105659586).

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

55775952 is a wasteful number, since it uses less digits than its factorization.

55775952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43057 (or 43042 counting only the distinct ones).

The product of its digits is 551250, while the sum is 45.

The square root of 55775952 is about 7468.3299337938. The cubic root of 55775952 is about 382.0753303007.

The spelling of 55775952 in words is "fifty-five million, seven hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 43037 86074 129111 172148 258222 344296 387333 516444 688592 774666 1032888 1161999 1549332 2065776 2323998 3098664 3485997 4647996 6197328 6971994 9295992 13943988 18591984 27887976 55775952