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56515424 = 257319271
BaseRepresentation
bin1101011110010…
…1101101100000
310221100021120212
43113211231200
5103431443144
65335153252
71254242000
oct327455540
9127307525
1056515424
11299a0969
1216b15828
13b929ba4
147712000
154e6549e
hex35e5b60

56515424 has 96 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 22861440.

The previous prime is 56515421. The next prime is 56515427. The reversal of 56515424 is 42451565.

It is an interprime number because it is at equal distance from previous prime (56515421) and next prime (56515427).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56515421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208409 + ... + 208679.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 256515424 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 56515424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

56515424 is an abundant number, since it is smaller than the sum of its proper divisors (80572576).

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

56515424 is a wasteful number, since it uses less digits than its factorization.

56515424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 56515424 is about 7517.6741083928. The cubic root of 56515424 is about 383.7564282894.

Adding to 56515424 its reverse (42451565), we get a palindrome (98966989).

The spelling of 56515424 in words is "fifty-six million, five hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 271 304 343 392 532 542 608 686 784 931 1064 1084 1372 1568 1862 1897 2128 2168 2744 3724 3794 4256 4336 5149 5488 6517 7448 7588 8672 10298 10976 13034 13279 14896 15176 20596 26068 26558 29792 30352 36043 41192 52136 53116 60704 72086 82384 92953 104272 106232 144172 164768 185906 208544 212464 252301 288344 371812 424928 504602 576688 743624 1009204 1153376 1487248 1766107 2018408 2974496 3532214 4036816 7064428 8073632 14128856 28257712 56515424