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52054506 = 23271273253
BaseRepresentation
bin1100011010010…
…0100111101010
310121221122100200
43012210213222
5101311221011
65055413030
71201312260
oct306444752
9117848320
1052054506
1127424359
1215524176
13aa275aa
146cb0430
154883856
hex31a49ea

52054506 has 48 divisors (see below), whose sum is σ = 129951744. Its totient is φ = 14751072.

The previous prime is 52054501. The next prime is 52054517. The reversal of 52054506 is 60545025.

52054506 is a `hidden beast` number, since 5 + 205 + 450 + 6 = 666.

52054506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52054506.

It is not an unprimeable number, because it can be changed into a prime (52054501) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14376 + ... + 17628.

It is an arithmetic number, because the mean of its divisors is an integer number (2707328).

Almost surely, 252054506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52054506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64975872).

52054506 is an abundant number, since it is smaller than the sum of its proper divisors (77897238).

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

52054506 is a wasteful number, since it uses less digits than its factorization.

52054506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 52054506 is about 7214.8808721974. The cubic root of 52054506 is about 373.3814831250.

The spelling of 52054506 in words is "fifty-two million, fifty-four thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 3253 5334 6506 8001 9759 16002 19518 22771 29277 45542 58554 68313 136626 204939 409878 413131 826262 1239393 2478786 2891917 3718179 5783834 7436358 8675751 17351502 26027253 52054506