Search a number
-
+
55037010 = 23571371913
BaseRepresentation
bin1101000111110…
…0110001010010
310211120011120210
43101330301102
5103042141020
65243344550
71235543520
oct321746122
9124504523
1055037010
1129081136
1216522156
13b52cca2
147449310
154c723e0
hex347cc52

55037010 has 64 divisors (see below), whose sum is σ = 152140032. Its totient is φ = 12481536.

The previous prime is 55036987. The next prime is 55037023. The reversal of 55037010 is 1073055.

It is a happy number.

55037010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27814 + ... + 29726.

It is an arithmetic number, because the mean of its divisors is an integer number (2377188).

Almost surely, 255037010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55037010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76070016).

55037010 is an abundant number, since it is smaller than the sum of its proper divisors (97103022).

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

55037010 is a wasteful number, since it uses less digits than its factorization.

55037010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 55037010 is about 7418.6932811648. The cubic root of 55037010 is about 380.3805283260.

The spelling of 55037010 in words is "fifty-five million, thirty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1913 1918 2055 2877 3826 4110 4795 5739 5754 9565 9590 11478 13391 14385 19130 26782 28695 28770 40173 57390 66955 80346 133910 200865 262081 401730 524162 786243 1310405 1572486 1834567 2620810 3669134 3931215 5503701 7862430 9172835 11007402 18345670 27518505 55037010