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56532996 = 2232131131069
BaseRepresentation
bin1101011110101…
…0000000000100
310221101011200200
43113222000010
5103433023441
65335410500
71254344142
oct327520004
9127334620
1056532996
1129a03093
1216b23a30
13b934ba0
147718592
154e6a7b6
hex35ea004

56532996 has 72 divisors (see below), whose sum is σ = 155402520. Its totient is φ = 17224704.

The previous prime is 56532979. The next prime is 56533013. The reversal of 56532996 is 69923565.

It is an interprime number because it is at equal distance from previous prime (56532979) and next prime (56533013).

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 55353600 = 1086^2 + 7440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52350 + ... + 53418.

Almost surely, 256532996 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 56532996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77701260).

56532996 is an abundant number, since it is smaller than the sum of its proper divisors (98869524).

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

56532996 is a wasteful number, since it uses less digits than its factorization.

56532996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 56532996 is about 7518.8427301015. The cubic root of 56532996 is about 383.7961971921.

It can be divided in two parts, 5653 and 2996, that added together give a square (8649 = 932).

The spelling of 56532996 in words is "fifty-six million, five hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 113 117 156 226 234 339 452 468 678 1017 1069 1356 1469 2034 2138 2938 3207 4068 4276 4407 5876 6414 8814 9621 12828 13221 13897 17628 19242 26442 27794 38484 41691 52884 55588 83382 120797 125073 166764 241594 250146 362391 483188 500292 724782 1087173 1449564 1570361 2174346 3140722 4348692 4711083 6281444 9422166 14133249 18844332 28266498 56532996