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525688380 = 223457151307
BaseRepresentation
bin11111010101010…
…101111000111100
31100122011201220000
4133111111320330
52034034012010
6124055154300
716012164120
oct3725257074
91318151800
10525688380
1124a812508
12128075990
1384baa719
144db61580
153123e7c0
hex1f555e3c

525688380 has 240 divisors, whose sum is σ = 1903351296. Its totient is φ = 118972800.

The previous prime is 525688369. The next prime is 525688411. The reversal of 525688380 is 83886525.

It is a happy number.

525688380 is a `hidden beast` number, since 5 + 2 + 568 + 8 + 3 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1712187 + ... + 1712493.

Almost surely, 2525688380 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 525688380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951675648).

525688380 is an abundant number, since it is smaller than the sum of its proper divisors (1377662916).

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

525688380 is a wasteful number, since it uses less digits than its factorization.

525688380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 525688380 is about 22927.8952370251. The cubic root of 525688380 is about 807.0667569601.

It can be divided in two parts, 5256 and 88380, that added together give a square (93636 = 3062).

The spelling of 525688380 in words is "five hundred twenty-five million, six hundred eighty-eight thousand, three hundred eighty".