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56433552 = 2437533169
BaseRepresentation
bin1101011101000…
…1101110010000
310221012010021120
43113101232100
5103421333202
65333322240
71253451210
oct327215620
9127163246
1056433552
11299453aa
1216a96380
13b8cb846
1476d0240
154e4b0bc
hex35d1b90

56433552 has 80 divisors (see below), whose sum is σ = 169810560. Its totient is φ = 15814656.

The previous prime is 56433539. The next prime is 56433563. The reversal of 56433552 is 25533465.

56433552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16224 + ... + 19392.

It is an arithmetic number, because the mean of its divisors is an integer number (2122632).

Almost surely, 256433552 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 56433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84905280).

56433552 is an abundant number, since it is smaller than the sum of its proper divisors (113377008).

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

56433552 is a wasteful number, since it uses less digits than its factorization.

56433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its digits is 54000, while the sum is 33.

The square root of 56433552 is about 7512.2268336359. The cubic root of 56433552 is about 383.5710270418.

The spelling of 56433552 in words is "fifty-six million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 3169 4452 5936 6338 8904 9507 12676 17808 19014 22183 25352 38028 44366 50704 66549 76056 88732 133098 152112 167957 177464 266196 335914 354928 503871 532392 671828 1007742 1064784 1175699 1343656 2015484 2351398 2687312 3527097 4030968 4702796 7054194 8061936 9405592 14108388 18811184 28216776 56433552