Search a number
-
+
53292736 = 267472531
BaseRepresentation
bin1100101101001…
…0111011000000
310201021112220001
43023102323000
5102120331421
65142125344
71214660260
oct313227300
9121245801
1053292736
112809a692
1215a20854
13b06c083
1471137a0
154a2a691
hex32d2ec0

53292736 has 56 divisors (see below), whose sum is σ = 123480576. Its totient is φ = 22344960.

The previous prime is 53292731. The next prime is 53292737. The reversal of 53292736 is 63729235.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 53292695 and 53292704.

It is not an unprimeable number, because it can be changed into a prime (53292731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19791 + ... + 22321.

Almost surely, 253292736 is an apocalyptic number.

53292736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61740288).

53292736 is an abundant number, since it is smaller than the sum of its proper divisors (70187840).

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

53292736 is a wasteful number, since it uses less digits than its factorization.

53292736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2587 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 53292736 is about 7300.1873948550. The cubic root of 53292736 is about 376.3188784250.

The spelling of 53292736 in words is "fifty-three million, two hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2531 2632 3008 5062 5264 10124 10528 17717 20248 21056 35434 40496 70868 80992 118957 141736 161984 237914 283472 475828 566944 832699 951656 1133888 1665398 1903312 3330796 3806624 6661592 7613248 13323184 26646368 53292736