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56052480 = 2835111327
BaseRepresentation
bin1101010111010…
…0101100000000
310220110202112210
43111310230000
5103322134410
65321222120
71250303211
oct325645400
9126422483
1056052480
1129705070
1216931940
13b7c7263
147631408
154dc3220
hex3574b00

56052480 has 144 divisors (see below), whose sum is σ = 195439104. Its totient is φ = 13578240.

The previous prime is 56052461. The next prime is 56052481. The reversal of 56052480 is 8425065.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56052481) 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 15 ways as a sum of consecutive naturals, for example, 41577 + ... + 42903.

It is an arithmetic number, because the mean of its divisors is an integer number (1357216).

Almost surely, 256052480 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 56052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97719552).

56052480 is an abundant number, since it is smaller than the sum of its proper divisors (139386624).

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

56052480 is a wasteful number, since it uses less digits than its factorization.

56052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 56052480 is about 7486.8204199112. The cubic root of 56052480 is about 382.7057118934.

The spelling of 56052480 in words is "fifty-six million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1327 1408 1760 1920 2112 2640 2654 2816 3520 3840 3981 4224 5280 5308 6635 7040 7962 8448 10560 10616 13270 14080 14597 15924 19905 21120 21232 26540 29194 31848 39810 42240 42464 43791 53080 58388 63696 72985 79620 84928 87582 106160 116776 127392 145970 159240 169856 175164 212320 218955 233552 254784 291940 318480 339712 350328 424640 437910 467104 509568 583880 636960 700656 849280 875820 934208 1019136 1167760 1273920 1401312 1698560 1751640 1868416 2335520 2547840 2802624 3503280 3736832 4671040 5095680 5605248 7006560 9342080 11210496 14013120 18684160 28026240 56052480