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56229936 = 2437374523
BaseRepresentation
bin1101011010000…
…0000000110000
310220210202222020
43112200000300
5103343324221
65325111440
71251642450
oct326400060
9126722866
1056229936
1129816424
12169b8580
13b859c69
147679d60
154e0aac6
hex35a0030

56229936 has 80 divisors (see below), whose sum is σ = 170536704. Its totient is φ = 15628032.

The previous prime is 56229919. The next prime is 56229977. The reversal of 56229936 is 63992265.

It is a super-3 number, since 3×562299363 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10171 + ... + 14693.

Almost surely, 256229936 is an apocalyptic number.

56229936 is a gapful number since it is divisible by the number (56) 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 56229936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85268352).

56229936 is an abundant number, since it is smaller than the sum of its proper divisors (114306768).

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

56229936 is a wasteful number, since it uses less digits than its factorization.

56229936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578 (or 4572 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 56229936 is about 7498.6622807005. The cubic root of 56229936 is about 383.1091545349.

The spelling of 56229936 in words is "fifty-six million, two hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 4523 6216 9046 12432 13569 18092 27138 31661 36184 54276 63322 72368 94983 108552 126644 167351 189966 217104 253288 334702 379932 502053 506576 669404 759864 1004106 1171457 1338808 1519728 2008212 2342914 2677616 3514371 4016424 4685828 7028742 8032848 9371656 14057484 18743312 28114968 56229936