[go: up one dir, main page]

Search a number
-
+
56021952 = 263773571
BaseRepresentation
bin1101010110110…
…1001111000000
310220102012200010
43111231033000
5103320200302
65320424520
71250115210
oct325551700
9126365603
1056021952
1129694138
1216918140
13b7b63ac
147624240
154db916c
hex356d3c0

56021952 has 112 divisors (see below), whose sum is σ = 172020992. Its totient is φ = 15759360.

The previous prime is 56021923. The next prime is 56021963. The reversal of 56021952 is 25912065.

It is a happy number.

56021952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97827 + ... + 98397.

Almost surely, 256021952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86010496).

56021952 is an abundant number, since it is smaller than the sum of its proper divisors (115999040).

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

56021952 is a wasteful number, since it uses less digits than its factorization.

56021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 56021952 is about 7484.7813595322. The cubic root of 56021952 is about 382.6362212920.

The spelling of 56021952 in words is "fifty-six million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 571 584 672 876 1022 1142 1168 1344 1533 1713 1752 2044 2284 2336 3066 3426 3504 3997 4088 4568 4672 6132 6852 7008 7994 8176 9136 11991 12264 13704 14016 15988 16352 18272 23982 24528 27408 31976 32704 36544 41683 47964 49056 54816 63952 83366 95928 98112 109632 125049 127904 166732 191856 250098 255808 291781 333464 383712 500196 583562 666928 767424 875343 1000392 1167124 1333856 1750686 2000784 2334248 2667712 3501372 4001568 4668496 7002744 8003136 9336992 14005488 18673984 28010976 56021952