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5524082688 = 21231014451
BaseRepresentation
bin1010010010100001…
…01101000000000000
3112020222112110212010
411021100231000000
542303131121223
62312052132520
7253614633225
oct51120550000
915228473763
105524082688
1123852230a3
1210a2007140
136a05c64a7
143a592594c
15224e7a393
hex14942d000

5524082688 has 104 divisors (see below), whose sum is σ = 14878263456. Its totient is φ = 1822720000.

The previous prime is 5524082671. The next prime is 5524082689. The reversal of 5524082688 is 8862804255.

It is a happy number.

It is a super-2 number, since 2×55240826882 = 61030979087722610688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5524082689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238863 + ... + 1243313.

Almost surely, 25524082688 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 5524082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439131728).

5524082688 is an abundant number, since it is smaller than the sum of its proper divisors (9354180768).

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

5524082688 is a wasteful number, since it uses less digits than its factorization.

5524082688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 5524082688 is about 74324.1729721899. The cubic root of 5524082688 is about 1767.7467884676.

The spelling of 5524082688 in words is "five billion, five hundred twenty-four million, eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 1024 1212 1536 1616 2048 2424 3072 3232 4096 4451 4848 6144 6464 8902 9696 12288 12928 13353 17804 19392 25856 26706 35608 38784 51712 53412 71216 77568 103424 106824 142432 155136 206848 213648 284864 310272 413696 427296 449551 569728 620544 854592 899102 1139456 1241088 1348653 1709184 1798204 2278912 2697306 3418368 3596408 4557824 5394612 6836736 7192816 9115648 10789224 13673472 14385632 18231296 21578448 27346944 28771264 43156896 54693888 57542528 86313792 115085056 172627584 230170112 345255168 460340224 690510336 920680448 1381020672 1841360896 2762041344 5524082688