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5629493520 = 243557411009
BaseRepresentation
bin1010011111000101…
…10100000100010000
3112112022212220100000
411033202310010100
543012122243040
62330335330000
7256334622360
oct51742640420
915468786300
105629493520
11242977a892
121111380900
136b93b2a71
143b59249a0
1522e34d130
hex14f8b4110

5629493520 has 480 divisors, whose sum is σ = 22976029440. Its totient is φ = 1254113280.

The previous prime is 5629493447. The next prime is 5629493521. The reversal of 5629493520 is 253949265.

5629493520 is a `hidden beast` number, since 5 + 6 + 294 + 9 + 352 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5629493521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5578776 + ... + 5579784.

It is an arithmetic number, because the mean of its divisors is an integer number (47866728).

Almost surely, 25629493520 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 5629493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488014720).

5629493520 is an abundant number, since it is smaller than the sum of its proper divisors (17346535920).

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

5629493520 is a wasteful number, since it uses less digits than its factorization.

5629493520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5629493520 is about 75029.9508196560. The cubic root of 5629493520 is about 1778.9200957147.

The spelling of 5629493520 in words is "five billion, six hundred twenty-nine million, four hundred ninety-three thousand, five hundred twenty".