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55693920 = 2535294001
BaseRepresentation
bin1101010001110…
…1001001100000
310212210112200210
43110131021200
5103224201140
65305414120
71244250642
oct324351140
9125715623
1055693920
112948a737
121679a340
13b6ccca9
14757a892
154d51d80
hex351d260

55693920 has 96 divisors (see below), whose sum is σ = 181530720. Its totient is φ = 14336000.

The previous prime is 55693907. The next prime is 55693927. The reversal of 55693920 is 2939655.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55693927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (1890945).

Almost surely, 255693920 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 55693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90765360).

55693920 is an abundant number, since it is smaller than the sum of its proper divisors (125836800).

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

55693920 is a wasteful number, since it uses less digits than its factorization.

55693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 55693920 is about 7462.8359220875. The cubic root of 55693920 is about 381.8879270654.

The spelling of 55693920 in words is "fifty-five million, six hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4001 4640 6960 8002 12003 13920 16004 20005 24006 32008 40010 48012 60015 64016 80020 96024 116029 120030 128032 160040 192048 232058 240060 320080 348087 384096 464116 480120 580145 640160 696174 928232 960240 1160290 1392348 1740435 1856464 1920480 2320580 2784696 3480870 3712928 4641160 5569392 6961740 9282320 11138784 13923480 18564640 27846960 55693920