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56366440 = 23513611777
BaseRepresentation
bin1101011100000…
…1010101101000
310221001201012221
43113001111220
5103412211230
65332043424
71253051434
oct327012550
9127051187
1056366440
11298a9a39
1216a63574
13b8a7130
1476b39c4
154e3627a
hex35c1568

56366440 has 64 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 20459520.

The previous prime is 56366437. The next prime is 56366449. The reversal of 56366440 is 4466365.

It can be written as a sum of positive squares in 8 ways, for example, as 2696164 + 53670276 = 1642^2 + 7326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56366396 and 56366405.

It is not an unprimeable number, because it can be changed into a prime (56366449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30832 + ... + 32608.

Almost surely, 256366440 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 56366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

56366440 is an abundant number, since it is smaller than the sum of its proper divisors (82530920).

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

56366440 is a wasteful number, since it uses less digits than its factorization.

56366440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 56366440 is about 7507.7586535530. The cubic root of 56366440 is about 383.4189164090.

The spelling of 56366440 in words is "fifty-six million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 1777 2440 3172 3554 3965 6344 7108 7930 8885 14216 15860 17770 23101 31720 35540 46202 71080 92404 108397 115505 184808 216794 231010 433588 462020 541985 867176 924040 1083970 1409161 2167940 2818322 4335880 5636644 7045805 11273288 14091610 28183220 56366440