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53234880 = 2635232411
BaseRepresentation
bin1100101100010…
…0110011000000
310201011121112020
43023010303000
5102112004010
65141001440
71214326506
oct313046300
9121147466
1053234880
1128060176
12159b3280
13b04b93a
1470da676
154a18470
hex32c4cc0

53234880 has 112 divisors (see below), whose sum is σ = 176442624. Its totient is φ = 13573120.

The previous prime is 53234849. The next prime is 53234887. The reversal of 53234880 is 8843235.

It is a super-2 number, since 2×532348802 = 5667904897228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53234887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20875 + ... + 23285.

Almost surely, 253234880 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 53234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88221312).

53234880 is an abundant number, since it is smaller than the sum of its proper divisors (123207744).

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

53234880 is a wasteful number, since it uses less digits than its factorization.

53234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 53234880 is about 7296.2236807817. The cubic root of 53234880 is about 376.1826485478.

The spelling of 53234880 in words is "fifty-three million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2411 2760 3680 4416 4822 5520 7233 7360 9644 11040 12055 14466 19288 22080 24110 28932 36165 38576 48220 55453 57864 72330 77152 96440 110906 115728 144660 154304 166359 192880 221812 231456 277265 289320 332718 385760 443624 462912 554530 578640 665436 771520 831795 887248 1109060 1157280 1330872 1663590 1774496 2218120 2314560 2661744 3327180 3548992 4436240 5323488 6654360 8872480 10646976 13308720 17744960 26617440 53234880