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55293760 = 265672579
BaseRepresentation
bin1101001011101…
…1011101000000
310212001012210001
43102323131000
5103123400020
65253045344
71240663204
oct322733500
9125035701
1055293760
1129237025
1216626854
13b5bcb02
1474b4b04
154cc350a
hex34bb740

55293760 has 56 divisors (see below), whose sum is σ = 133685280. Its totient is φ = 21778944.

The previous prime is 55293731. The next prime is 55293767. The reversal of 55293760 is 6739255.

55293760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55293767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20151 + ... + 22729.

Almost surely, 255293760 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 55293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66842640).

55293760 is an abundant number, since it is smaller than the sum of its proper divisors (78391520).

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

55293760 is a wasteful number, since it uses less digits than its factorization.

55293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 55293760 is about 7435.9774071739. The cubic root of 55293760 is about 380.9711080476.

The spelling of 55293760 in words is "fifty-five million, two hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2579 2680 4288 5158 5360 10316 10720 12895 20632 21440 25790 41264 51580 82528 103160 165056 172793 206320 345586 412640 691172 825280 863965 1382344 1727930 2764688 3455860 5529376 6911720 11058752 13823440 27646880 55293760