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526890420 = 22345797479
BaseRepresentation
bin11111011001111…
…011010110110100
31100201102210210000
4133121323112310
52034340443140
6124141031300
716025331450
oct3731732664
91321383700
10526890420
11250463631
12128555530
138520b8a4
144dd95660
15313caa30
hex1f67b5b4

526890420 has 240 divisors, whose sum is σ = 1912458240. Its totient is φ = 118941696.

The previous prime is 526890389. The next prime is 526890433. The reversal of 526890420 is 24098625.

It is a happy number.

526890420 is a `hidden beast` number, since 526 + 8 + 90 + 42 + 0 = 666.

It is a super-2 number, since 2×5268904202 = 555227029375552800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1099741 + ... + 1100219.

It is an arithmetic number, because the mean of its divisors is an integer number (7968576).

Almost surely, 2526890420 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 526890420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956229120).

526890420 is an abundant number, since it is smaller than the sum of its proper divisors (1385567820).

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

526890420 is a wasteful number, since it uses less digits than its factorization.

526890420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 526890420 is about 22954.0937525314. The cubic root of 526890420 is about 807.6814354580.

The spelling of 526890420 in words is "five hundred twenty-six million, eight hundred ninety thousand, four hundred twenty".