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55758780 = 22355711149
BaseRepresentation
bin1101010010110…
…0111110111100
310212220211200000
43110230332330
5103233240110
65311034300
71244641020
oct324547674
9125824600
1055758780
1129524440
121680b990
13b72367c
147596380
154d661c0
hex352cfbc

55758780 has 288 divisors, whose sum is σ = 220147200. Its totient is φ = 11508480.

The previous prime is 55758763. The next prime is 55758797. The reversal of 55758780 is 8785755.

It is a happy number.

55758780 is a `hidden beast` number, since 5 + 575 + 8 + 78 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55758763) and next prime (55758797).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374146 + ... + 374294.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 255758780 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 55758780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

55758780 is an abundant number, since it is smaller than the sum of its proper divisors (164388420).

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

55758780 is a wasteful number, since it uses less digits than its factorization.

55758780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 55758780 is about 7467.1801906744. The cubic root of 55758780 is about 382.0361158438.

The spelling of 55758780 in words is "fifty-five million, seven hundred fifty-eight thousand, seven hundred eighty".