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56469240 = 23325179227
BaseRepresentation
bin1101011101101…
…0011011111000
310221020221020100
43113122123320
5103424003430
65334155400
71253660232
oct327323370
9127227210
1056469240
112996a1a3
1216ab2b60
13b911b69
1476dd252
154e56960
hex35da6f8

56469240 has 96 divisors (see below), whose sum is σ = 194341680. Its totient is φ = 14171136.

The previous prime is 56469239. The next prime is 56469241. The reversal of 56469240 is 4296465.

56469240 is a `hidden beast` number, since 5 + 646 + 9 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56469239) and next prime (56469241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56469195 and 56469204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56469241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507 + ... + 10733.

Almost surely, 256469240 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 56469240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97170840).

56469240 is an abundant number, since it is smaller than the sum of its proper divisors (137872440).

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

56469240 is a wasteful number, since it uses less digits than its factorization.

56469240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56469240 is about 7514.6017858567. The cubic root of 56469240 is about 383.6518654661.

The spelling of 56469240 in words is "fifty-six million, four hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 9227 18454 27681 36908 46135 55362 73816 83043 92270 110724 138405 156859 166086 184540 221448 276810 313718 332172 369080 415215 470577 553620 627436 664344 784295 830430 941154 1107240 1254872 1411731 1568590 1660860 1882308 2352885 2823462 3137180 3321720 3764616 4705770 5646924 6274360 7058655 9411540 11293848 14117310 18823080 28234620 56469240