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56280384 = 2632199491
BaseRepresentation
bin1101011010110…
…0010101000000
310220220100011200
43112230111000
5103401433014
65330141200
71252242516
oct326542500
9126810150
1056280384
1129850316
1216a21800
13b876c04
1476904b6
154e1aa09
hex35ac540

56280384 has 84 divisors (see below), whose sum is σ = 162458400. Its totient is φ = 18627840.

The previous prime is 56280383. The next prime is 56280397. The reversal of 56280384 is 48308265.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56280383) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 114379 + ... + 114869.

Almost surely, 256280384 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 56280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81229200).

56280384 is an abundant number, since it is smaller than the sum of its proper divisors (106178016).

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

56280384 is a wasteful number, since it uses less digits than its factorization.

56280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 56280384 is about 7502.0253265368. The cubic root of 56280384 is about 383.2236920628.

The spelling of 56280384 in words is "fifty-six million, two hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 491 576 597 796 982 1194 1473 1592 1791 1964 2388 2946 3184 3582 3928 4419 4776 5892 6368 7164 7856 8838 9552 11784 12736 14328 15712 17676 19104 23568 28656 31424 35352 38208 47136 57312 70704 94272 97709 114624 141408 195418 282816 293127 390836 586254 781672 879381 1172508 1563344 1758762 2345016 3126688 3517524 4690032 6253376 7035048 9380064 14070096 18760128 28140192 56280384