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524989920 = 2535721317101
BaseRepresentation
bin11111010010101…
…011010111100000
31100120212020210010
4133102223113200
52033344134140
6124032204520
716003224600
oct3722532740
91316766703
10524989920
1124a385774
12127999740
13849c4830
144da1cc00
1531152880
hex1f4ab5e0

524989920 has 576 divisors, whose sum is σ = 2215273536. Its totient is φ = 103219200.

The previous prime is 524989919. The next prime is 524989943. The reversal of 524989920 is 29989425.

It is a happy number.

It is a super-2 number, since 2×5249899202 = 551228832203212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 524989920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197870 + ... + 5197970.

It is an arithmetic number, because the mean of its divisors is an integer number (3845961).

Almost surely, 2524989920 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 524989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107636768).

524989920 is an abundant number, since it is smaller than the sum of its proper divisors (1690283616).

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

524989920 is a wasteful number, since it uses less digits than its factorization.

524989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 524989920 is about 22912.6585100900. The cubic root of 524989920 is about 806.7091600076.

The spelling of 524989920 in words is "five hundred twenty-four million, nine hundred eighty-nine thousand, nine hundred twenty".