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53742752 = 257793037
BaseRepresentation
bin1100110100000…
…0110010100000
310202010102012022
43031000302200
5102224232002
65155521012
71221543260
oct315006240
9122112168
1053742752
11283777a8
1215bb9168
13b198b5b
1471cd7a0
154ab8ba2
hex3340ca0

53742752 has 48 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 22733568.

The previous prime is 53742751. The next prime is 53742757. The reversal of 53742752 is 25724735.

It is not an unprimeable number, because it can be changed into a prime (53742751) 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, 16178 + ... + 19214.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 253742752 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 53742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

53742752 is an abundant number, since it is smaller than the sum of its proper divisors (68749408).

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

53742752 is a wasteful number, since it uses less digits than its factorization.

53742752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3125 counting only the distinct ones).

The product of its digits is 58800, while the sum is 35.

The square root of 53742752 is about 7330.9448231452. The cubic root of 53742752 is about 377.3751516151.

The spelling of 53742752 in words is "fifty-three million, seven hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 3037 4424 6074 8848 12148 17696 21259 24296 42518 48592 85036 97184 170072 239923 340144 479846 680288 959692 1679461 1919384 3358922 3838768 6717844 7677536 13435688 26871376 53742752