Search a number
-
+
56023552 = 291319443
BaseRepresentation
bin1101010110110…
…1101000000000
310220102021212101
43111231220000
5103320223202
65320440144
71250122654
oct325555000
9126367771
1056023552
1129695362
1216919054
13b7b7040
147624a64
154db9887
hex356da00

56023552 has 80 divisors (see below), whose sum is σ = 127179360. Its totient is φ = 24440832.

The previous prime is 56023549. The next prime is 56023579. The reversal of 56023552 is 25532065.

It is a self number, because there is not a number n which added to its sum of digits gives 56023552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126243 + ... + 126685.

It is an arithmetic number, because the mean of its divisors is an integer number (1589742).

Almost surely, 256023552 is an apocalyptic number.

56023552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63589680).

56023552 is an abundant number, since it is smaller than the sum of its proper divisors (71155808).

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

56023552 is a wasteful number, since it uses less digits than its factorization.

56023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 56023552 is about 7484.8882423187. Note that the first 3 decimals coincide. The cubic root of 56023552 is about 382.6398639838.

The spelling of 56023552 in words is "fifty-six million, twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 443 494 512 608 832 886 988 1216 1664 1772 1976 2432 3328 3544 3952 4864 5759 6656 7088 7904 8417 9728 11518 14176 15808 16834 23036 28352 31616 33668 46072 56704 63232 67336 92144 109421 113408 126464 134672 184288 218842 226816 269344 368576 437684 538688 737152 875368 1077376 1474304 1750736 2154752 2948608 3501472 4309504 7002944 14005888 28011776 56023552