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56411424 = 2533109599
BaseRepresentation
bin1101011100110…
…0010100100000
310221010222221000
43113030110200
5103420131144
65333032000
71253326536
oct327142440
9127128830
1056411424
112992a813
1216a85600
13b8c1754
1476c6156
154e44769
hex35cc520

56411424 has 96 divisors (see below), whose sum is σ = 166320000. Its totient is φ = 18600192.

The previous prime is 56411419. The next prime is 56411447. The reversal of 56411424 is 42411465.

56411424 is a `hidden beast` number, since 5 + 641 + 14 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 93877 + ... + 94475.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500).

Almost surely, 256411424 is an apocalyptic number.

56411424 is a gapful number since it is divisible by the number (54) 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 56411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160000).

56411424 is an abundant number, since it is smaller than the sum of its proper divisors (109908576).

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

56411424 is a wasteful number, since it uses less digits than its factorization.

56411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 56411424 is about 7510.7538902563. The cubic root of 56411424 is about 383.5208868387.

Adding to 56411424 its reverse (42411465), we get a palindrome (98822889).

The spelling of 56411424 in words is "fifty-six million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 599 654 864 872 981 1198 1308 1744 1797 1962 2396 2616 2943 3488 3594 3924 4792 5232 5391 5886 7188 7848 9584 10464 10782 11772 14376 15696 16173 19168 21564 23544 28752 31392 32346 43128 47088 57504 64692 65291 86256 94176 129384 130582 172512 195873 258768 261164 391746 517536 522328 587619 783492 1044656 1175238 1566984 1762857 2089312 2350476 3133968 3525714 4700952 6267936 7051428 9401904 14102856 18803808 28205712 56411424