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52234880 = 275174801
BaseRepresentation
bin1100011101000…
…0101010000000
310122021210210012
43013100222000
5101333004010
65103324052
71202663165
oct307205200
9118253705
1052234880
1127537925
12155b0628
13aa8b719
146d1a06c
1548bc005
hex31d0a80

52234880 has 64 divisors (see below), whose sum is σ = 132247080. Its totient is φ = 19660800.

The previous prime is 52234873. The next prime is 52234891. The reversal of 52234880 is 8843225.

It can be written as a sum of positive squares in 4 ways, for example, as 48330304 + 3904576 = 6952^2 + 1976^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×522348802 = 5456965377228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8480 + ... + 13280.

Almost surely, 252234880 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 52234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66123540).

52234880 is an abundant number, since it is smaller than the sum of its proper divisors (80012200).

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

52234880 is a wasteful number, since it uses less digits than its factorization.

52234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 52234880 is about 7227.3701994571. The cubic root of 52234880 is about 373.8122538479.

The spelling of 52234880 in words is "fifty-two million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 4801 5440 9602 10880 19204 24005 38408 48010 76816 81617 96020 153632 163234 192040 307264 326468 384080 408085 614528 652936 768160 816170 1305872 1536320 1632340 2611744 3072640 3264680 5223488 6529360 10446976 13058720 26117440 52234880