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56453520 = 2435713313
BaseRepresentation
bin1101011101011…
…0100110010000
310221020010200010
43113112212100
5103423003040
65333554520
71253563344
oct327264620
9127203603
1056453520
1129959402
1216aa5a40
13b907966
1476d7624
154e51e80
hex35d6990

56453520 has 80 divisors (see below), whose sum is σ = 177524352. Its totient is φ = 14837760.

The previous prime is 56453519. The next prime is 56453531. The reversal of 56453520 is 2535465.

56453520 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15384 + ... + 18696.

Almost surely, 256453520 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 56453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88762176).

56453520 is an abundant number, since it is smaller than the sum of its proper divisors (121070832).

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

56453520 is a wasteful number, since it uses less digits than its factorization.

56453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 56453520 is about 7513.5557494438. Note that the first 3 decimals coincide. The cubic root of 56453520 is about 383.6162616161.

Adding to 56453520 its reverse (2535465), we get a palindrome (58988985).

The spelling of 56453520 in words is "fifty-six million, four hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3313 3408 4260 5680 6626 8520 9939 13252 16565 17040 19878 26504 33130 39756 49695 53008 66260 79512 99390 132520 159024 198780 235223 265040 397560 470446 705669 795120 940892 1176115 1411338 1881784 2352230 2822676 3528345 3763568 4704460 5645352 7056690 9408920 11290704 14113380 18817840 28226760 56453520