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56388480 = 273543683
BaseRepresentation
bin1101011100011…
…0101110000000
310221002211110020
43113012232000
5103413412410
65332333440
71253202621
oct327065600
9127084406
1056388480
1129914555
1216a74280
13b8b4185
1476bba48
154e3ca70
hex35c6b80

56388480 has 128 divisors (see below), whose sum is σ = 184187520. Its totient is φ = 14665728.

The previous prime is 56388467. The next prime is 56388487. The reversal of 56388480 is 8488365.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56388487) 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, 82219 + ... + 82901.

It is an arithmetic number, because the mean of its divisors is an integer number (1438965).

Almost surely, 256388480 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 56388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92093760).

56388480 is an abundant number, since it is smaller than the sum of its proper divisors (127799040).

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

56388480 is a wasteful number, since it uses less digits than its factorization.

56388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 56388480 is about 7509.2263249951. The cubic root of 56388480 is about 383.4688837994.

The spelling of 56388480 in words is "fifty-six million, three hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 683 688 860 960 1032 1290 1366 1376 1720 1920 2049 2064 2580 2732 2752 3415 3440 4098 4128 5160 5464 5504 6830 6880 8196 8256 10245 10320 10928 13660 13760 16392 16512 20490 20640 21856 27320 27520 29369 32784 40980 41280 43712 54640 58738 65568 81960 82560 87424 88107 109280 117476 131136 146845 163920 176214 218560 234952 262272 293690 327840 352428 437120 440535 469904 587380 655680 704856 881070 939808 1174760 1311360 1409712 1762140 1879616 2349520 2819424 3524280 3759232 4699040 5638848 7048560 9398080 11277696 14097120 18796160 28194240 56388480