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53217280 = 21155197
BaseRepresentation
bin1100101100000…
…0100000000000
310201010201101101
43023000200000
5102110423110
65140344144
71214224264
oct313004000
9121121341
1053217280
1128048a26
12159a5054
13b04391c
1470d40a4
154a1313a
hex32c0800

53217280 has 48 divisors (see below), whose sum is σ = 127714860. Its totient is φ = 21282816.

The previous prime is 53217277. The next prime is 53217299. The reversal of 53217280 is 8271235.

It can be written as a sum of positive squares in 2 ways, for example, as 52765696 + 451584 = 7264^2 + 672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7642 + ... + 12838.

Almost surely, 253217280 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 53217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63857430).

53217280 is an abundant number, since it is smaller than the sum of its proper divisors (74497580).

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

53217280 is an equidigital number, since it uses as much as digits as its factorization.

53217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5224 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 53217280 is about 7295.0174777035. The cubic root of 53217280 is about 376.1411873580.

The spelling of 53217280 in words is "fifty-three million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 5197 10240 10394 20788 25985 41576 51970 83152 103940 166304 207880 332608 415760 665216 831520 1330432 1663040 2660864 3326080 5321728 6652160 10643456 13304320 26608640 53217280