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56189640 = 233513181199
BaseRepresentation
bin1101011001011…
…0001011001000
310220201201200210
43112112023020
5103341032030
65324201120
71251414123
oct326261310
9126651623
1056189640
1129799121
12169991a0
13b844810
1476693ba
154dedbb0
hex35962c8

56189640 has 128 divisors (see below), whose sum is σ = 183456000. Its totient is φ = 13685760.

The previous prime is 56189629. The next prime is 56189657. The reversal of 56189640 is 4698165.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282261 + ... + 282459.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 256189640 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 56189640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

56189640 is an abundant number, since it is smaller than the sum of its proper divisors (127266360).

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

56189640 is a wasteful number, since it uses less digits than its factorization.

56189640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 56189640 is about 7495.9749199154. The cubic root of 56189640 is about 383.0176169615.

The spelling of 56189640 in words is "fifty-six million, one hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 181 195 199 260 312 362 390 398 520 543 597 724 780 796 905 995 1086 1194 1448 1560 1592 1810 1990 2172 2353 2388 2587 2715 2985 3620 3980 4344 4706 4776 5174 5430 5970 7059 7240 7761 7960 9412 10348 10860 11765 11940 12935 14118 15522 18824 20696 21720 23530 23880 25870 28236 31044 35295 36019 38805 47060 51740 56472 62088 70590 72038 77610 94120 103480 108057 141180 144076 155220 180095 216114 282360 288152 310440 360190 432228 468247 540285 720380 864456 936494 1080570 1404741 1440760 1872988 2161140 2341235 2809482 3745976 4322280 4682470 5618964 7023705 9364940 11237928 14047410 18729880 28094820 56189640