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55280960 = 2657232937
BaseRepresentation
bin1101001011100…
…0010101000000
310212000120012222
43102320111000
5103122442320
65252510212
71240610660
oct322702500
9125016188
1055280960
1129228449
121661b368
13b5b7037
1474b01a0
154cbe825
hex34b8540

55280960 has 224 divisors, whose sum is σ = 166786560. Its totient is φ = 17031168.

The previous prime is 55280947. The next prime is 55280969. The reversal of 55280960 is 6908255.

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 55280960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55280969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494062 + ... + 1494098.

Almost surely, 255280960 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 55280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

55280960 is an abundant number, since it is smaller than the sum of its proper divisors (111505600).

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

55280960 is a wasteful number, since it uses less digits than its factorization.

55280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 55280960 is about 7435.1166769594. The cubic root of 55280960 is about 380.9417086693.

The spelling of 55280960 in words is "fifty-five million, two hundred eighty thousand, nine hundred sixty".