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52942100 = 2252529421
BaseRepresentation
bin1100100111110…
…1010100010100
310200121201220112
43021331110110
5102023121400
65130422152
71212000101
oct311752424
9120551815
1052942100
1127980202
1215891958
13ac785b3
147061aa8
1549ab835
hex327d514

52942100 has 18 divisors (see below), whose sum is σ = 114884574. Its totient is φ = 21176800.

The previous prime is 52942093. The next prime is 52942121. The reversal of 52942100 is 124925.

52942100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1044484 + 51897616 = 1022^2 + 7204^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264611 + ... + 264810.

Almost surely, 252942100 is an apocalyptic number.

52942100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52942100 is an abundant number, since it is smaller than the sum of its proper divisors (61942474).

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

52942100 is a wasteful number, since it uses less digits than its factorization.

52942100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529435 (or 529428 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 52942100 is about 7276.1322143018. The cubic root of 52942100 is about 375.4917400812.

The spelling of 52942100 in words is "fifty-two million, nine hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 529421 1058842 2117684 2647105 5294210 10588420 13235525 26471050 52942100