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53460672 = 263383727
BaseRepresentation
bin1100101111101…
…1111011000000
310201121002020220
43023323323000
5102141220142
65145503040
71216260006
oct313737300
9121532226
1053460672
11281a4881
1215aa1a80
13b0ca645
147158a76
154a602ec
hex32fbec0

53460672 has 56 divisors (see below), whose sum is σ = 142012416. Its totient is φ = 17749248.

The previous prime is 53460611. The next prime is 53460683. The reversal of 53460672 is 27606435.

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, 73173 + ... + 73899.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 253460672 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 53460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71006208).

53460672 is an abundant number, since it is smaller than the sum of its proper divisors (88551744).

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

53460672 is a wasteful number, since it uses less digits than its factorization.

53460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 53460672 is about 7311.6805181846. The cubic root of 53460672 is about 376.7137491289.

The spelling of 53460672 in words is "fifty-three million, four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 383 727 766 1149 1454 1532 2181 2298 2908 3064 4362 4596 5816 6128 8724 9192 11632 12256 17448 18384 23264 24512 34896 36768 46528 69792 73536 139584 278441 556882 835323 1113764 1670646 2227528 3341292 4455056 6682584 8910112 13365168 17820224 26730336 53460672