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56533400 = 23527113671
BaseRepresentation
bin1101011110101…
…0000110011000
310221101012020122
43113222012120
5103433032100
65335412412
71254345260
oct327520630
9127335218
1056533400
1129a03420
1216b24108
13b935121
1477187a0
154e6a985
hex35ea198

56533400 has 96 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 17616000.

The previous prime is 56533361. The next prime is 56533409. The reversal of 56533400 is 433565.

56533400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56533400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56533409) 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 23 ways as a sum of consecutive naturals, for example, 13565 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 256533400 is an apocalyptic number.

56533400 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 56533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

56533400 is an abundant number, since it is smaller than the sum of its proper divisors (107384680).

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

56533400 is a wasteful number, since it uses less digits than its factorization.

56533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 56533400 is about 7518.8695958901. The cubic root of 56533400 is about 383.7971114269.

Adding to 56533400 its reverse (433565), we get a palindrome (56966965).

The spelling of 56533400 in words is "fifty-six million, five hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3671 3850 7342 7700 14684 15400 18355 25697 29368 36710 40381 51394 73420 80762 91775 102788 128485 146840 161524 183550 201905 205576 256970 282667 323048 367100 403810 513940 565334 642425 734200 807620 1009525 1027880 1130668 1284850 1413335 1615240 2019050 2261336 2569700 2826670 4038100 5139400 5653340 7066675 8076200 11306680 14133350 28266700 56533400