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56547072 = 2837101
BaseRepresentation
bin1101011110110…
…1011100000000
310221101220000000
43113231130000
5103434001242
65340000000
71254433161
oct327553400
9127356000
1056547072
1129a1271a
1216b30000
13b93b40a
14771d768
154e6ea4c
hex35ed700

56547072 has 144 divisors (see below), whose sum is σ = 170960160. Its totient is φ = 18662400.

The previous prime is 56547019. The next prime is 56547089. The reversal of 56547072 is 27074565.

56547072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559822 + ... + 559922.

Almost surely, 256547072 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 56547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85480080).

56547072 is an abundant number, since it is smaller than the sum of its proper divisors (114413088).

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

56547072 is an frugal number, since it uses more digits than its factorization.

56547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 56547072 is about 7519.7787201486. The cubic root of 56547072 is about 383.8280480128.

The spelling of 56547072 in words is "fifty-six million, five hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 128 144 162 192 202 216 243 256 288 303 324 384 404 432 486 576 606 648 729 768 808 864 909 972 1152 1212 1296 1458 1616 1728 1818 1944 2187 2304 2424 2592 2727 2916 3232 3456 3636 3888 4374 4848 5184 5454 5832 6464 6912 7272 7776 8181 8748 9696 10368 10908 11664 12928 14544 15552 16362 17496 19392 20736 21816 23328 24543 25856 29088 31104 32724 34992 38784 43632 46656 49086 58176 62208 65448 69984 73629 77568 87264 93312 98172 116352 130896 139968 147258 174528 186624 196344 220887 232704 261792 279936 294516 349056 392688 441774 523584 559872 589032 698112 785376 883548 1047168 1178064 1570752 1767096 2094336 2356128 3141504 3534192 4712256 6283008 7068384 9424512 14136768 18849024 28273536 56547072