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52902720 = 2634513157
BaseRepresentation
bin1100100111001…
…1101101000000
310200112201220000
43021303231000
5102020341340
65125520000
71211444223
oct311635500
9120481800
1052902720
1127953662
1215873000
13ac636b0
1470515ba
15499ed30
hex3273b40

52902720 has 280 divisors, whose sum is σ = 203950824. Its totient is φ = 12939264.

The previous prime is 52902719. The next prime is 52902721. The reversal of 52902720 is 2720925.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52902719) and next prime (52902721).

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 52881984 = 144^2 + 7272^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52902721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336882 + ... + 337038.

Almost surely, 252902720 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 52902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101975412).

52902720 is an abundant number, since it is smaller than the sum of its proper divisors (151048104).

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

52902720 is a wasteful number, since it uses less digits than its factorization.

52902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52902720 is about 7273.4256028367. The cubic root of 52902720 is about 375.3986161303.

The spelling of 52902720 in words is "fifty-two million, nine hundred two thousand, seven hundred twenty".