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56435240 = 23517149557
BaseRepresentation
bin1101011101001…
…0001000101000
310221012012121002
43113102020220
5103421411430
65333334132
71253456141
oct327221050
9127165532
1056435240
11299466a4
1216a97348
13b8cc544
1476d0ac8
154e4b845
hex35d2228

56435240 has 64 divisors (see below), whose sum is σ = 135594000. Its totient is φ = 21065728.

The previous prime is 56435233. The next prime is 56435287. The reversal of 56435240 is 4253465.

It can be written as a sum of positive squares in 8 ways, for example, as 8631844 + 47803396 = 2938^2 + 6914^2 .

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, 101042 + ... + 101598.

Almost surely, 256435240 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 56435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67797000).

56435240 is an abundant number, since it is smaller than the sum of its proper divisors (79158760).

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

56435240 is a wasteful number, since it uses less digits than its factorization.

56435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 56435240 is about 7512.3391829709. The cubic root of 56435240 is about 383.5748513710.

The spelling of 56435240 in words is "fifty-six million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 149 170 298 340 557 596 680 745 1114 1192 1490 2228 2533 2785 2980 4456 5066 5570 5960 9469 10132 11140 12665 18938 20264 22280 25330 37876 47345 50660 75752 82993 94690 101320 165986 189380 331972 378760 414965 663944 829930 1410881 1659860 2821762 3319720 5643524 7054405 11287048 14108810 28217620 56435240