Search a number
-
+
55685016 = 2333713631
BaseRepresentation
bin1101010001101…
…0111110011000
310212210002111000
43110122332120
5103223410031
65305305000
71244212662
oct324327630
9125702430
1055685016
1129483a82
1216795160
13b6c8c1a
147577532
154d4e3e6
hex351af98

55685016 has 64 divisors (see below), whose sum is σ = 156902400. Its totient is φ = 18295200.

The previous prime is 55684999. The next prime is 55685023. The reversal of 55685016 is 61058655.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13521 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (2451600).

Almost surely, 255685016 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 55685016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78451200).

55685016 is an abundant number, since it is smaller than the sum of its proper divisors (101217384).

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

55685016 is a wasteful number, since it uses less digits than its factorization.

55685016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55685016 is about 7462.2393421814. The cubic root of 55685016 is about 381.8675746862.

The spelling of 55685016 in words is "fifty-five million, six hundred eighty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3631 3834 5112 7262 7668 10893 14524 15336 21786 29048 32679 43572 65358 87144 98037 130716 196074 257801 261432 392148 515602 773403 784296 1031204 1546806 2062408 2320209 3093612 4640418 6187224 6960627 9280836 13921254 18561672 27842508 55685016