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55482560 = 2657173147
BaseRepresentation
bin1101001110100…
…1100011000000
310212101210202122
43103221203000
5103200420220
65301103412
71242410510
oct323514300
9125353678
1055482560
1129355961
12166b7b68
13b657a23
147523840
154d0e425
hex34e98c0

55482560 has 224 divisors, whose sum is σ = 168542208. Its totient is φ = 16957440.

The previous prime is 55482547. The next prime is 55482563. The reversal of 55482560 is 6528455.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 55482560.

It is not an unprimeable number, because it can be changed into a prime (55482563) 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 31 ways as a sum of consecutive naturals, for example, 1180457 + ... + 1180503.

Almost surely, 255482560 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 55482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271104).

55482560 is an abundant number, since it is smaller than the sum of its proper divisors (113059648).

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

55482560 is a wasteful number, since it uses less digits than its factorization.

55482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 55482560 is about 7448.6616247484. The cubic root of 55482560 is about 381.4042228335.

The spelling of 55482560 in words is "fifty-five million, four hundred eighty-two thousand, five hundred sixty".