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56200032 = 2532761457
BaseRepresentation
bin1101011001100…
…0101101100000
310220202020221200
43112120231200
5103341400112
65324321200
71251456330
oct326305540
9126666850
1056200032
11297a5a09
12169a3200
13b849475
14766d0c0
154e01cdc
hex3598b60

56200032 has 144 divisors (see below), whose sum is σ = 186050592. Its totient is φ = 15759360.

The previous prime is 56200021. The next prime is 56200091. The reversal of 56200032 is 23000265.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56199978 and 56200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122748 + ... + 123204.

It is an arithmetic number, because the mean of its divisors is an integer number (1292018).

Almost surely, 256200032 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 56200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93025296).

56200032 is an abundant number, since it is smaller than the sum of its proper divisors (129850560).

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

56200032 is a wasteful number, since it uses less digits than its factorization.

56200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 56200032 is about 7496.6680598783. The cubic root of 56200032 is about 383.0412279197.

Adding to 56200032 its reverse (23000265), we get a palindrome (79200297).

The spelling of 56200032 in words is "fifty-six million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 457 488 504 549 672 732 854 914 976 1008 1098 1281 1371 1464 1708 1828 1952 2016 2196 2562 2742 2928 3199 3416 3656 3843 4113 4392 5124 5484 5856 6398 6832 7312 7686 8226 8784 9597 10248 10968 12796 13664 14624 15372 16452 17568 19194 20496 21936 25592 27877 28791 30744 32904 38388 40992 43872 51184 55754 57582 61488 65808 76776 83631 102368 111508 115164 122976 131616 153552 167262 195139 223016 230328 250893 307104 334524 390278 446032 460656 501786 585417 669048 780556 892064 921312 1003572 1170834 1338096 1561112 1756251 2007144 2341668 2676192 3122224 3512502 4014288 4683336 6244448 7025004 8028576 9366672 14050008 18733344 28100016 56200032