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56074032 = 243472883
BaseRepresentation
bin1101010111100…
…1111100110000
310220111212010000
43111321330300
5103323332112
65321510000
71250423100
oct325717460
9126455100
1056074032
112971a283
1216942300
13b804001
147639200
154dc97dc
hex3579f30

56074032 has 150 divisors (see below), whose sum is σ = 189005388. Its totient is φ = 16003008.

The previous prime is 56073991. The next prime is 56074033. The reversal of 56074032 is 23047065.

It is a happy number.

56074032 is a `hidden beast` number, since 560 + 74 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56073987 and 56074005.

It is not an unprimeable number, because it can be changed into a prime (56074033) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63063 + ... + 63945.

Almost surely, 256074032 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 56074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94502694).

56074032 is an abundant number, since it is smaller than the sum of its proper divisors (132931356).

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

56074032 is a wasteful number, since it uses less digits than its factorization.

56074032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56074032 is about 7488.2596108842. The cubic root of 56074032 is about 382.7547553173.

The spelling of 56074032 in words is "fifty-six million, seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 883 1008 1134 1176 1296 1323 1512 1764 1766 2268 2352 2646 2649 3024 3528 3532 3969 4536 5292 5298 6181 7056 7064 7938 7947 9072 10584 10596 12362 14128 15876 15894 18543 21168 21192 23841 24724 31752 31788 37086 42384 43267 47682 49448 55629 63504 63576 71523 74172 86534 95364 98896 111258 127152 129801 143046 148344 166887 173068 190728 222516 259602 286092 296688 333774 346136 381456 389403 445032 500661 519204 572184 667548 692272 778806 890064 1001322 1038408 1144368 1168209 1335096 1557612 2002644 2076816 2336418 2670192 3115224 3504627 4005288 4672836 6230448 7009254 8010576 9345672 14018508 18691344 28037016 56074032