Search a number
-
+
44292204 = 223311231621
BaseRepresentation
bin1010100011110…
…1100001101100
310002100021111000
42220331201230
542314322304
64221200300
71045322535
oct250754154
9102307430
1044292204
1123002430
1212a00090
13923a408
145c4d68c
153d4d939
hex2a3d86c

44292204 has 96 divisors (see below), whose sum is σ = 130798080. Its totient is φ = 12830400.

The previous prime is 44292179. The next prime is 44292221. The reversal of 44292204 is 40229244.

44292204 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 (27).

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, 26514 + ... + 28134.

It is an arithmetic number, because the mean of its divisors is an integer number (1362480).

Almost surely, 244292204 is an apocalyptic number.

44292204 is a gapful number since it is divisible by the number (44) 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 44292204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65399040).

44292204 is an abundant number, since it is smaller than the sum of its proper divisors (86505876).

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

44292204 is a wasteful number, since it uses less digits than its factorization.

44292204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44292204 is about 6655.2388386894. The cubic root of 44292204 is about 353.8146113466.

The spelling of 44292204 in words is "forty-four million, two hundred ninety-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 1621 2277 2484 3036 3242 4554 4863 6484 6831 9108 9726 13662 14589 17831 19452 27324 29178 35662 37283 43767 53493 58356 71324 74566 87534 106986 111849 149132 160479 175068 213972 223698 320958 335547 410113 447396 481437 641916 671094 820226 962874 1006641 1230339 1342188 1640452 1925748 2013282 2460678 3691017 4026564 4921356 7382034 11073051 14764068 22146102 44292204