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56866992 = 24371347277
BaseRepresentation
bin1101100011101…
…1100010110000
310222000010211220
43120323202300
5104024220432
65350505040
71260234660
oct330734260
9128003756
1056866992
112a111016
1217065180
13ba20c10
1477a41a0
154ed472c
hex363b8b0

56866992 has 160 divisors (see below), whose sum is σ = 185321472. Its totient is φ = 14625792.

The previous prime is 56866967. The next prime is 56866993. The reversal of 56866992 is 29966865.

56866992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56866993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205158 + ... + 205434.

Almost surely, 256866992 is an apocalyptic number.

56866992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56866992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92660736).

56866992 is an abundant number, since it is smaller than the sum of its proper divisors (128454480).

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

56866992 is a wasteful number, since it uses less digits than its factorization.

56866992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 56866992 is about 7541.0206205792. The cubic root of 56866992 is about 384.5505341163.

The spelling of 56866992 in words is "fifty-six million, eight hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 182 188 208 273 277 282 312 329 336 364 376 546 554 564 611 624 658 728 752 831 987 1092 1108 1128 1222 1316 1456 1662 1833 1939 1974 2184 2216 2256 2444 2632 3324 3601 3666 3878 3948 4277 4368 4432 4888 5264 5817 6648 7202 7332 7756 7896 8554 9776 10803 11634 12831 13019 13296 14404 14664 15512 15792 17108 21606 23268 25207 25662 26038 28808 29328 31024 34216 39057 43212 46536 50414 51324 52076 57616 68432 75621 78114 86424 91133 93072 100828 102648 104152 151242 156228 169247 172848 182266 201656 205296 208304 273399 302484 312456 338494 364532 403312 507741 546798 604968 624912 676988 729064 1015482 1093596 1184729 1209936 1353976 1458128 2030964 2187192 2369458 2707952 3554187 4061928 4374384 4738916 7108374 8123856 9477832 14216748 18955664 28433496 56866992