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56612430 = 23257233907
BaseRepresentation
bin1101011111110…
…1011001001110
310221112012122200
43113331121032
5103443044210
65341222330
71255124550
oct327753116
9127465580
1056612430
1129a57836
1216b619a6
13b9620a4
1477394d0
154e840c0
hex35fd64e

56612430 has 96 divisors (see below), whose sum is σ = 175578624. Its totient is φ = 12374208.

The previous prime is 56612411. The next prime is 56612461. The reversal of 56612430 is 3421665.

56612430 is a `hidden beast` number, since 5 + 6 + 612 + 43 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56612394 and 56612403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12537 + ... + 16443.

It is an arithmetic number, because the mean of its divisors is an integer number (1828944).

Almost surely, 256612430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56612430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87789312).

56612430 is an abundant number, since it is smaller than the sum of its proper divisors (118966194).

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

56612430 is a wasteful number, since it uses less digits than its factorization.

56612430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56612430 is about 7524.1232047329. The cubic root of 56612430 is about 383.9758692519.

It can be divided in two parts, 566 and 12430, that added together give a square (12996 = 1142).

The spelling of 56612430 in words is "fifty-six million, six hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 3907 4830 7245 7814 11721 14490 19535 23442 27349 35163 39070 54698 58605 70326 82047 89861 117210 136745 164094 175815 179722 246141 269583 273490 351630 410235 449305 492282 539166 629027 808749 820470 898610 1230705 1258054 1347915 1617498 1887081 2461410 2695830 3145135 3774162 4043745 5661243 6290270 8087490 9435405 11322486 18870810 28306215 56612430