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5824816040 = 235145620401
BaseRepresentation
bin1010110110010111…
…11010001110101000
3120000221102022110102
411123023322032220
543412123103130
62401554004532
7264226055651
oct53313721650
916027368412
105824816040
112519a5855a
121166876748
1371a9c0014
143d384a528
15241581645
hex15b2fa3a8

5824816040 has 16 divisors (see below), whose sum is σ = 13105836180. Its totient is φ = 2329926400.

The previous prime is 5824816013. The next prime is 5824816093. The reversal of 5824816040 is 406184285.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5300131204 + 524684836 = 72802^2 + 22906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5824815985 and 5824816003.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72810161 + ... + 72810240.

Almost surely, 25824816040 is an apocalyptic number.

It is an amenable number.

5824816040 is an abundant number, since it is smaller than the sum of its proper divisors (7281020140).

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

5824816040 is a wasteful number, since it uses less digits than its factorization.

5824816040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145620412 (or 145620408 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 5824816040 is about 76320.4824408232. The cubic root of 5824816040 is about 1799.2606057823.

The spelling of 5824816040 in words is "five billion, eight hundred twenty-four million, eight hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 145620401 291240802 582481604 728102005 1164963208 1456204010 2912408020 5824816040