Search a number
-
+
57022272 = 263332999
BaseRepresentation
bin1101100110000…
…1011101000000
310222022000212000
43121201131000
5104044203042
65354104000
71261452456
oct331413500
9128260760
1057022272
112a20774a
121711b000
13ba767b8
1478049d6
15501574c
hex3661740

57022272 has 56 divisors (see below), whose sum is σ = 167640000. Its totient is φ = 19006848.

The previous prime is 57022253. The next prime is 57022283. The reversal of 57022272 is 27222075.

It is a happy number.

57022272 is a `hidden beast` number, since 570 + 2 + 22 + 72 = 666.

It is a super-3 number, since 3×570222723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 14772 + ... + 18227.

Almost surely, 257022272 is an apocalyptic number.

It is an amenable number.

57022272 is an abundant number, since it is smaller than the sum of its proper divisors (110617728).

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

57022272 is a wasteful number, since it uses less digits than its factorization.

57022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020 (or 33004 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57022272 is about 7551.3092904476. The cubic root of 57022272 is about 384.9002316398.

The spelling of 57022272 in words is "fifty-seven million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 32999 65998 98997 131996 197994 263992 296991 395988 527984 593982 791976 890973 1055968 1187964 1583952 1781946 2111936 2375928 3167904 3563892 4751856 6335808 7127784 9503712 14255568 19007424 28511136 57022272