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5612407056 = 243420812
BaseRepresentation
bin1010011101000011…
…01000100100010000
3112111010201211010000
411032201220210100
542443234011211
62324525210000
7256036446534
oct51641504420
915433654100
105612407056
11242006a543
121107700900
136b59ac829
143b3557bc4
1522cac5656
hex14e868910

5612407056 has 75 divisors (see below), whose sum is σ = 16251743893. Its totient is φ = 1869903360.

The previous prime is 5612407051. The next prime is 5612407061. The reversal of 5612407056 is 6507042165.

It is a happy number.

The square root of 5612407056 is 74916.

It is a perfect power (a square), and thus also a powerful number.

5612407056 is a `hidden beast` number, since 561 + 2 + 40 + 7 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (5612407051) and next prime (5612407061).

It can be written as a sum of positive squares in only one way, i.e., 2126685456 + 3485721600 = 46116^2 + 59040^2 .

It is a super-2 number, since 2×56124070562 = 62998225924477174272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5612407056.

It is not an unprimeable number, because it can be changed into a prime (5612407051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2695936 + ... + 2698016.

Almost surely, 25612407056 is an apocalyptic number.

5612407056 is the 74916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5612407056

5612407056 is an abundant number, since it is smaller than the sum of its proper divisors (10639336837).

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

5612407056 is an frugal number, since it uses more digits than its factorization.

5612407056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The cubic root of 5612407056 is about 1777.1184974119.

Multiplying 5612407056 by its sum of digits (36), we get a square (202046654016 = 4494962).

5612407056 divided by its sum of digits (36) gives a square (155900196 = 124862).

The spelling of 5612407056 in words is "five billion, six hundred twelve million, four hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2081 4162 6243 8324 12486 16648 18729 24972 33296 37458 49944 56187 74916 99888 112374 149832 168561 224748 299664 337122 449496 674244 898992 1348488 2696976 4330561 8661122 12991683 17322244 25983366 34644488 38975049 51966732 69288976 77950098 103933464 116925147 155900196 207866928 233850294 311800392 350775441 467700588 623600784 701550882 935401176 1403101764 1870802352 2806203528 5612407056