Search a number
-
+
56530500 = 22353132223
BaseRepresentation
bin1101011110100…
…1011001000100
310221101001021020
43113221121010
5103432434000
65335351140
71254333645
oct327513104
9127331236
1056530500
1129a01224
1216b224b0
13b933a00
1477176cc
154e69ba0
hex35e9644

56530500 has 144 divisors (see below), whose sum is σ = 179053056. Its totient is φ = 13852800.

The previous prime is 56530433. The next prime is 56530501. The reversal of 56530500 is 503565.

56530500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56530501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 253389 + ... + 253611.

It is an arithmetic number, because the mean of its divisors is an integer number (1243424).

Almost surely, 256530500 is an apocalyptic number.

56530500 is a gapful number since it is divisible by the number (50) 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 56530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526528).

56530500 is an abundant number, since it is smaller than the sum of its proper divisors (122522556).

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

56530500 is a wasteful number, since it uses less digits than its factorization.

56530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 56530500 is about 7518.6767452791. The cubic root of 56530500 is about 383.7905487539.

The spelling of 56530500 in words is "fifty-six million, five hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 169 195 223 250 260 300 325 338 375 390 446 500 507 650 669 676 750 780 845 892 975 1014 1115 1300 1338 1500 1625 1690 1950 2028 2230 2535 2676 2899 3250 3345 3380 3900 4225 4460 4875 5070 5575 5798 6500 6690 8450 8697 9750 10140 11150 11596 12675 13380 14495 16725 16900 17394 19500 21125 22300 25350 27875 28990 33450 34788 37687 42250 43485 50700 55750 57980 63375 66900 72475 75374 83625 84500 86970 111500 113061 126750 144950 150748 167250 173940 188435 217425 226122 253500 289900 334500 362375 376870 434850 452244 565305 724750 753740 869700 942175 1087125 1130610 1449500 1884350 2174250 2261220 2826525 3768700 4348500 4710875 5653050 9421750 11306100 14132625 18843500 28265250 56530500