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53532672 = 21138713
BaseRepresentation
bin1100110000110…
…1100000000000
310201201202000120
43030031200000
5102201021142
65151220240
71220006634
oct314154000
9121652016
1053532672
1128243986
1215b17680
13b12434b
147176dc4
154a767ec
hex330d800

53532672 has 48 divisors (see below), whose sum is σ = 142735320. Its totient is φ = 17842176.

The previous prime is 53532667. The next prime is 53532679. The reversal of 53532672 is 27623535.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53532679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1788 + ... + 10500.

Almost surely, 253532672 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 53532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71367660).

53532672 is an abundant number, since it is smaller than the sum of its proper divisors (89202648).

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

53532672 is an equidigital number, since it uses as much as digits as its factorization.

53532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8718 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 53532672 is about 7316.6024902273. The cubic root of 53532672 is about 376.8827906665.

The spelling of 53532672 in words is "fifty-three million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 8713 17426 26139 34852 52278 69704 104556 139408 209112 278816 418224 557632 836448 1115264 1672896 2230528 3345792 4461056 6691584 8922112 13383168 17844224 26766336 53532672