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56765016 = 23337113413
BaseRepresentation
bin1101100010001…
…0101001011000
310221210221222000
43120202221120
5104012440031
65344401000
71256331450
oct330425130
9127727860
1056765016
112a051440
1217016160
13b9b6689
147778d60
154eb43e6
hex3622a58

56765016 has 128 divisors (see below), whose sum is σ = 196646400. Its totient is φ = 14739840.

The previous prime is 56765003. The next prime is 56765053. The reversal of 56765016 is 61056765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14926 + ... + 18338.

It is an arithmetic number, because the mean of its divisors is an integer number (1536300).

Almost surely, 256765016 is an apocalyptic number.

56765016 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 56765016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98323200).

56765016 is an abundant number, since it is smaller than the sum of its proper divisors (139881384).

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

56765016 is a wasteful number, since it uses less digits than its factorization.

56765016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56765016 is about 7534.2561676651. The cubic root of 56765016 is about 384.3205331508.

The spelling of 56765016 in words is "fifty-six million, seven hundred sixty-five thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 3413 4158 5544 6826 8316 10239 13652 16632 20478 23891 27304 30717 37543 40956 47782 61434 71673 75086 81912 92151 95564 112629 122868 143346 150172 184302 191128 215019 225258 245736 262801 286692 300344 337887 368604 430038 450516 525602 573384 645057 675774 737208 788403 860076 901032 1013661 1051204 1290114 1351548 1576806 1720152 2027322 2102408 2365209 2580228 2703096 3153612 4054644 4730418 5160456 6307224 7095627 8109288 9460836 14191254 18921672 28382508 56765016