Search a number
-
+
55515700 = 22521733209
BaseRepresentation
bin1101001111000…
…1101000110100
310212110111020001
43103301220310
5103203000300
65301521044
71242606232
oct323615064
9125414201
1055515700
1129378849
1216713184
13b669b36
147531952
154d1916a
hex34f1a34

55515700 has 36 divisors (see below), whose sum is σ = 121203180. Its totient is φ = 22071040.

The previous prime is 55515689. The next prime is 55515703. The reversal of 55515700 is 751555.

55515700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 54582544 = 966^2 + 7388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55515703) 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 11 ways as a sum of consecutive naturals, for example, 15696 + ... + 18904.

It is an arithmetic number, because the mean of its divisors is an integer number (3366755).

Almost surely, 255515700 is an apocalyptic number.

55515700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55515700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60601590).

55515700 is an abundant number, since it is smaller than the sum of its proper divisors (65687480).

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

55515700 is a wasteful number, since it uses less digits than its factorization.

55515700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 4375, while the sum is 28.

The square root of 55515700 is about 7450.8858533734. The cubic root of 55515700 is about 381.4801459115.

The spelling of 55515700 in words is "fifty-five million, five hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3209 3460 4325 6418 8650 12836 16045 17300 32090 64180 80225 160450 320900 555157 1110314 2220628 2775785 5551570 11103140 13878925 27757850 55515700