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53337920 = 265237247
BaseRepresentation
bin1100101101110…
…1111101000000
310201100211212112
43023131331000
5102123303140
65143114452
71215236066
oct313357500
9121324775
1053337920
1128120629
1215a42a28
13b0867cc
147126036
154a38c65
hex32ddf40

53337920 has 56 divisors (see below), whose sum is σ = 132551424. Its totient is φ = 20404736.

The previous prime is 53337919. The next prime is 53337923. The reversal of 53337920 is 2973335.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53337923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3737 + ... + 10983.

Almost surely, 253337920 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 53337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66275712).

53337920 is an abundant number, since it is smaller than the sum of its proper divisors (79213504).

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

53337920 is a wasteful number, since it uses less digits than its factorization.

53337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 32.

The square root of 53337920 is about 7303.2814542505. The cubic root of 53337920 is about 376.4252017896.

The spelling of 53337920 in words is "fifty-three million, three hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7247 7360 14494 28988 36235 57976 72470 115952 144940 166681 231904 289880 333362 463808 579760 666724 833405 1159520 1333448 1666810 2319040 2666896 3333620 5333792 6667240 10667584 13334480 26668960 53337920