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56411520 = 2735112671
BaseRepresentation
bin1101011100110…
…0010110000000
310221011000001120
43113030112000
5103420132040
65333032240
71253330034
oct327142600
9127130046
1056411520
112992a8a0
1216a85680
13b8c17c9
1476c61c4
154e447d0
hex35cc580

56411520 has 128 divisors (see below), whose sum is σ = 196231680. Its totient is φ = 13670400.

The previous prime is 56411507. The next prime is 56411527. The reversal of 56411520 is 2511465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56411527) by changing a digit.

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, 19785 + ... + 22455.

It is an arithmetic number, because the mean of its divisors is an integer number (1533060).

Almost surely, 256411520 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 56411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98115840).

56411520 is an abundant number, since it is smaller than the sum of its proper divisors (139820160).

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

56411520 is a wasteful number, since it uses less digits than its factorization.

56411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 56411520 is about 7510.7602810901. The cubic root of 56411520 is about 383.5211043950.

Adding to 56411520 its reverse (2511465), we get a palindrome (58922985).

The spelling of 56411520 in words is "fifty-six million, four hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 2671 3520 4224 5280 5342 7040 8013 10560 10684 13355 16026 21120 21368 26710 29381 32052 40065 42736 53420 58762 64104 80130 85472 88143 106840 117524 128208 146905 160260 170944 176286 213680 235048 256416 293810 320520 341888 352572 427360 440715 470096 512832 587620 641040 705144 854720 881430 940192 1025664 1175240 1282080 1410288 1709440 1762860 1880384 2350480 2564160 2820576 3525720 3760768 4700960 5128320 5641152 7051440 9401920 11282304 14102880 18803840 28205760 56411520