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55092960 = 2535513109
BaseRepresentation
bin1101001000101…
…0011011100000
310211200000100000
43102022123200
5103100433320
65244500000
71236165606
oct322123340
9124600300
1055092960
112910a17a
121654a600
13b54c5b0
147461876
154c83c90
hex348a6e0

55092960 has 288 divisors, whose sum is σ = 211891680. Its totient is φ = 13436928.

The previous prime is 55092931. The next prime is 55092979. The reversal of 55092960 is 6929055.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 505386 + ... + 505494.

It is an arithmetic number, because the mean of its divisors is an integer number (735735).

Almost surely, 255092960 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 55092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

55092960 is an abundant number, since it is smaller than the sum of its proper divisors (156798720).

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

55092960 is a wasteful number, since it uses less digits than its factorization.

55092960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 55092960 is about 7422.4632030075. The cubic root of 55092960 is about 380.5093815156.

The spelling of 55092960 in words is "fifty-five million, ninety-two thousand, nine hundred sixty".