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53337984 = 273719843
BaseRepresentation
bin1100101101110…
…1111110000000
310201100211221220
43023131332000
5102123303414
65143115040
71215236220
oct313357600
9121324856
1053337984
1128120687
1215a42a80
13b08684b
147126080
154a38ca9
hex32ddf80

53337984 has 64 divisors (see below), whose sum is σ = 161927040. Its totient is φ = 15238656.

The previous prime is 53337983. The next prime is 53338009. The reversal of 53337984 is 48973335.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53337983) 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, 7234 + ... + 12609.

It is an arithmetic number, because the mean of its divisors is an integer number (2530110).

Almost surely, 253337984 is an apocalyptic number.

It is an amenable number.

53337984 is an abundant number, since it is smaller than the sum of its proper divisors (108589056).

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

53337984 is a wasteful number, since it uses less digits than its factorization.

53337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19867 (or 19855 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 53337984 is about 7303.2858358413. The cubic root of 53337984 is about 376.4253523466.

The spelling of 53337984 in words is "fifty-three million, three hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 19843 39686 59529 79372 119058 138901 158744 238116 277802 317488 416703 476232 555604 634976 833406 952464 1111208 1269952 1666812 1904928 2222416 2539904 3333624 3809856 4444832 6667248 7619712 8889664 13334496 17779328 26668992 53337984