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55039680 = 2632529659
BaseRepresentation
bin1101000111110…
…1011011000000
310211120022020200
43101331123000
5103042232210
65243405200
71235554353
oct321753300
9124508220
1055039680
1129083143
1216523800
13b531277
14744a29a
154c730c0
hex347d6c0

55039680 has 168 divisors, whose sum is σ = 196138800. Its totient is φ = 14149632.

The previous prime is 55039657. The next prime is 55039681. The reversal of 55039680 is 8693055.

55039680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (55039681) 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 23 ways as a sum of consecutive naturals, for example, 83191 + ... + 83849.

Almost surely, 255039680 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 55039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98069400).

55039680 is an abundant number, since it is smaller than the sum of its proper divisors (141099120).

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

55039680 is a wasteful number, since it uses less digits than its factorization.

55039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55039680 is about 7418.8732298106. The cubic root of 55039680 is about 380.3866793360.

The spelling of 55039680 in words is "fifty-five million, thirty-nine thousand, six hundred eighty".