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761425920 = 21237517
BaseRepresentation
bin101101011000100…
…111000000000000
31222001202110000000
4231120213000000
53024411112140
6203320000000
724604004433
oct5530470000
91861673000
10761425920
11360894622
12193000000
13c19983a8
14731a781a
1546ca7a30
hex2d627000

761425920 has 416 divisors, whose sum is σ = 2901579840. Its totient is φ = 191102976.

The previous prime is 761425901. The next prime is 761425921. The reversal of 761425920 is 29524167.

761425920 is a `hidden beast` number, since 7 + 61 + 4 + 2 + 592 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1224 × 1080 × 576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761425921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44789752 + ... + 44789768.

Almost surely, 2761425920 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 761425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450789920).

761425920 is an abundant number, since it is smaller than the sum of its proper divisors (2140153920).

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

761425920 is an frugal number, since it uses more digits than its factorization.

761425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 761425920 is about 27593.9471623760. The cubic root of 761425920 is about 913.1509015754.

The spelling of 761425920 in words is "seven hundred sixty-one million, four hundred twenty-five thousand, nine hundred twenty".