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52488020 = 22513253293
BaseRepresentation
bin1100100000111…
…0011101010100
310122202200000202
43020032131110
5101414104040
65113000032
71205066204
oct310163524
9118680022
1052488020
11276a0032
12156b3018
13ab49a00
146d84404
15491c015
hex320e754

52488020 has 72 divisors (see below), whose sum is σ = 122022936. Its totient is φ = 18949632.

The previous prime is 52488011. The next prime is 52488031. The reversal of 52488020 is 2088425.

It can be written as a sum of positive squares in 12 ways, for example, as 10523536 + 41964484 = 3244^2 + 6478^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178994 + ... + 179286.

It is an arithmetic number, because the mean of its divisors is an integer number (1694763).

Almost surely, 252488020 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 52488020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61011468).

52488020 is an abundant number, since it is smaller than the sum of its proper divisors (69534916).

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

52488020 is a wasteful number, since it uses less digits than its factorization.

52488020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 52488020 is about 7244.8616273881. The cubic root of 52488020 is about 374.4151357050.

It can be divided in two parts, 524880 and 20, that multiplied together give a square (10497600 = 32402).

The spelling of 52488020 in words is "fifty-two million, four hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 169 212 260 265 293 338 530 586 676 689 845 1060 1172 1378 1465 1690 2756 2930 3380 3445 3809 5860 6890 7618 8957 13780 15236 15529 17914 19045 31058 35828 38090 44785 49517 62116 76180 77645 89570 99034 155290 179140 198068 201877 247585 310580 403754 495170 807508 990340 1009385 2018770 2624401 4037540 5248802 10497604 13122005 26244010 52488020