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52942500 = 22325413181
BaseRepresentation
bin1100100111110…
…1011010100100
310200121202110100
43021331122210
5102023130000
65130424100
71212001212
oct311753244
9120552410
1052942500
1127980536
1215892030
13ac78830
147061cb2
1549aba00
hex327d6a4

52942500 has 180 divisors, whose sum is σ = 181088908. Its totient is φ = 12960000.

The previous prime is 52942469. The next prime is 52942517. The reversal of 52942500 is 524925.

It can be written as a sum of positive squares in 10 ways, for example, as 52881984 + 60516 = 7272^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 292410 + ... + 292590.

Almost surely, 252942500 is an apocalyptic number.

52942500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52942500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90544454).

52942500 is an abundant number, since it is smaller than the sum of its proper divisors (128146408).

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

52942500 is a wasteful number, since it uses less digits than its factorization.

52942500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52942500 is about 7276.1597013809. The cubic root of 52942500 is about 375.4926857452.

The spelling of 52942500 in words is "fifty-two million, nine hundred forty-two thousand, five hundred".