Search a number
-
+
52882920 = 23325178641
BaseRepresentation
bin1100100110111…
…0110111101000
310200111201201200
43021232313220
5102014223140
65125244200
71211332416
oct311566750
9120451650
1052882920
112793a7a2
1215863660
13ac5768c
1470482b6
154999030
hex326ede8

52882920 has 96 divisors (see below), whose sum is σ = 182000520. Its totient is φ = 13271040.

The previous prime is 52882919. The next prime is 52882933. The reversal of 52882920 is 2928825.

It can be written as a sum of positive squares in 4 ways, for example, as 34786404 + 18096516 = 5898^2 + 4254^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1800 + ... + 10440.

Almost surely, 252882920 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 52882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91000260).

52882920 is an abundant number, since it is smaller than the sum of its proper divisors (129117600).

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

52882920 is a wasteful number, since it uses less digits than its factorization.

52882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 52882920 is about 7272.0643561509. The cubic root of 52882920 is about 375.3517765721.

The spelling of 52882920 in words is "fifty-two million, eight hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 8641 17282 25923 34564 43205 51846 69128 77769 86410 103692 129615 146897 155538 172820 207384 259230 293794 311076 345640 388845 440691 518460 587588 622152 734485 777690 881382 1036920 1175176 1322073 1468970 1555380 1762764 2203455 2644146 2937940 3110760 3525528 4406910 5288292 5875880 6610365 8813820 10576584 13220730 17627640 26441460 52882920