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5290517232 = 243271113172127
BaseRepresentation
bin1001110110101011…
…01110001011110000
3111122201001010021200
410323111232023300
541313333022412
62232550051200
7245050440330
oct47325561360
914581033250
105290517232
1122753a49a0
121037949b00
136640b9390
143828c70c0
1520e6e09dc
hex13b56e2f0

5290517232 has 720 divisors, whose sum is σ = 21283971072. Its totient is φ = 1184440320.

The previous prime is 5290517203. The next prime is 5290517233. The reversal of 5290517232 is 2327150925.

5290517232 is a `hidden beast` number, since 52 + 90 + 517 + 2 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5290517233) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41657553 + ... + 41657679.

Almost surely, 25290517232 is an apocalyptic number.

5290517232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5290517232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10641985536).

5290517232 is an abundant number, since it is smaller than the sum of its proper divisors (15993453840).

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

5290517232 is a wasteful number, since it uses less digits than its factorization.

5290517232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5290517232 is about 72735.9418169587. The cubic root of 5290517232 is about 1742.4729482217.

The spelling of 5290517232 in words is "five billion, two hundred ninety million, five hundred seventeen thousand, two hundred thirty-two".