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52152360 = 233513101331
BaseRepresentation
bin1100011011110…
…0100000101000
310122010121120220
43012330200220
5101322333420
65101450040
71202200461
oct306744050
9118117526
1052152360
1127490927
1215570920
13aa5ccb0
146cd7d68
1548a2840
hex31bc828

52152360 has 128 divisors (see below), whose sum is σ = 170674560. Its totient is φ = 12672000.

The previous prime is 52152349. The next prime is 52152361. The reversal of 52152360 is 6325125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52152360.

It is not an unprimeable number, because it can be changed into a prime (52152361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157395 + ... + 157725.

It is an arithmetic number, because the mean of its divisors is an integer number (1333395).

Almost surely, 252152360 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 52152360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85337280).

52152360 is an abundant number, since it is smaller than the sum of its proper divisors (118522200).

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

52152360 is a wasteful number, since it uses less digits than its factorization.

52152360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 52152360 is about 7221.6590891567. The cubic root of 52152360 is about 373.6153021472.

Adding to 52152360 its reverse (6325125), we get a palindrome (58477485).

The spelling of 52152360 in words is "fifty-two million, one hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 331 390 404 505 520 606 662 780 808 993 1010 1212 1313 1324 1515 1560 1655 1986 2020 2424 2626 2648 3030 3310 3939 3972 4040 4303 4965 5252 6060 6565 6620 7878 7944 8606 9930 10504 12120 12909 13130 13240 15756 17212 19695 19860 21515 25818 26260 31512 33431 34424 39390 39720 43030 51636 52520 64545 66862 78780 86060 100293 103272 129090 133724 157560 167155 172120 200586 258180 267448 334310 401172 434603 501465 516360 668620 802344 869206 1002930 1303809 1337240 1738412 2005860 2173015 2607618 3476824 4011720 4346030 5215236 6519045 8692060 10430472 13038090 17384120 26076180 52152360