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5076594432 = 283372131153
BaseRepresentation
bin1001011101001011…
…01010111100000000
3111002210111201101000
410232211222330000
540344102010212
62155425012000
7236542224600
oct45645527400
914083451330
105076594432
112175672598
12b98184000
1362b998b40
1436231cc00
151eaa361dc
hex12e96af00

5076594432 has 432 divisors, whose sum is σ = 18823032480. Its totient is φ = 1337720832.

The previous prime is 5076594427. The next prime is 5076594437. The reversal of 5076594432 is 2344956705.

5076594432 is a `hidden beast` number, since 50 + 7 + 6 + 594 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5076594427) and next prime (5076594437).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×50765944322 = 51543622054026805248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076594437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402368 + ... + 4403520.

Almost surely, 25076594432 is an apocalyptic number.

5076594432 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 5076594432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411516240).

5076594432 is an abundant number, since it is smaller than the sum of its proper divisors (13746438048).

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

5076594432 is a wasteful number, since it uses less digits than its factorization.

5076594432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5076594432 is about 71250.2240838582. The cubic root of 5076594432 is about 1718.6633783748.

The spelling of 5076594432 in words is "five billion, seventy-six million, five hundred ninety-four thousand, four hundred thirty-two".