Search a number
-
+
53152960 = 265761389
BaseRepresentation
bin1100101011000…
…0110011000000
310201000110011011
43022300303000
5102101343320
65135130304
71213535620
oct312606300
9121013134
1053152960
1128004673
1215973994
13b020573
1470b8880
1549ee05a
hex32b0cc0

53152960 has 112 divisors (see below), whose sum is σ = 147401280. Its totient is φ = 17879040.

The previous prime is 53152907. The next prime is 53153063. The reversal of 53152960 is 6925135.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136446 + ... + 136834.

Almost surely, 253152960 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 53152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73700640).

53152960 is an abundant number, since it is smaller than the sum of its proper divisors (94248320).

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

53152960 is a wasteful number, since it uses less digits than its factorization.

53152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 53152960 is about 7290.6076564303. The cubic root of 53152960 is about 375.9895877606.

The spelling of 53152960 in words is "fifty-three million, one hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 389 427 448 488 560 610 778 854 976 1120 1220 1556 1708 1945 1952 2135 2240 2440 2723 3112 3416 3890 3904 4270 4880 5446 6224 6832 7780 8540 9760 10892 12448 13615 13664 15560 17080 19520 21784 23729 24896 27230 27328 31120 34160 43568 47458 54460 62240 68320 87136 94916 108920 118645 124480 136640 166103 174272 189832 217840 237290 332206 379664 435680 474580 664412 759328 830515 871360 949160 1328824 1518656 1661030 1898320 2657648 3322060 3796640 5315296 6644120 7593280 10630592 13288240 26576480 53152960