Search a number
-
+
56217456 = 2433179727
BaseRepresentation
bin1101011001110…
…0111101110000
310220210010212000
43112130331300
5103342424311
65324534000
71251561201
oct326347560
9126703760
1056217456
1129808009
12169b1300
13b854389
1476755a8
154e07056
hex359cf70

56217456 has 80 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 18608832.

The previous prime is 56217443. The next prime is 56217527. The reversal of 56217456 is 65471265.

It is a happy number.

It is a super-2 number, since 2×562174562 = 6320804718223872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56217456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76965 + ... + 77691.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 256217456 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 56217456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

56217456 is an abundant number, since it is smaller than the sum of its proper divisors (106272144).

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

56217456 is a wasteful number, since it uses less digits than its factorization.

56217456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56217456 is about 7497.8300860982. The cubic root of 56217456 is about 383.0808092775.

The spelling of 56217456 in words is "fifty-six million, two hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 727 1074 1432 1454 1611 2148 2181 2864 2908 3222 4296 4362 4833 5816 6444 6543 8592 8724 9666 11632 12888 13086 17448 19332 19629 25776 26172 34896 38664 39258 52344 77328 78516 104688 130133 157032 260266 314064 390399 520532 780798 1041064 1171197 1561596 2082128 2342394 3123192 3513591 4684788 6246384 7027182 9369576 14054364 18739152 28108728 56217456