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56995840 = 212511223
BaseRepresentation
bin1101100101101…
…1000000000000
310222020200121001
43121123000000
5104042331330
65353341344
71261312426
oct331330000
9128220531
1056995840
112a199900
1217107854
13ba67765
1477d9116
15500c9ca
hex365b000

56995840 has 156 divisors (see below), whose sum is σ = 156874032. Its totient is φ = 19824640.

The previous prime is 56995831. The next prime is 56995847. The reversal of 56995840 is 4859965.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (56995847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2478069 + ... + 2478091.

Almost surely, 256995840 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 56995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78437016).

56995840 is an abundant number, since it is smaller than the sum of its proper divisors (99878192).

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

56995840 is a wasteful number, since it uses less digits than its factorization.

56995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 56995840 is about 7549.5589275136. The cubic root of 56995840 is about 384.8407504644.

The spelling of 56995840 in words is "fifty-six million, nine hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 121 128 160 176 184 220 230 242 253 256 320 352 368 440 460 484 506 512 605 640 704 736 880 920 968 1012 1024 1210 1265 1280 1408 1472 1760 1840 1936 2024 2048 2420 2530 2560 2783 2816 2944 3520 3680 3872 4048 4096 4840 5060 5120 5566 5632 5888 7040 7360 7744 8096 9680 10120 10240 11132 11264 11776 13915 14080 14720 15488 16192 19360 20240 20480 22264 22528 23552 27830 28160 29440 30976 32384 38720 40480 44528 45056 47104 55660 56320 58880 61952 64768 77440 80960 89056 94208 111320 112640 117760 123904 129536 154880 161920 178112 222640 225280 235520 247808 259072 309760 323840 356224 445280 471040 495616 518144 619520 647680 712448 890560 1036288 1239040 1295360 1424896 1781120 2478080 2590720 2849792 3562240 5181440 5699584 7124480 11399168 14248960 28497920 56995840