Search a number
-
+
44164792 = 2376779149
BaseRepresentation
bin1010100001111…
…0011010111000
310002002210201001
42220132122320
542301233132
64214334344
71044252220
oct250363270
9102083631
1044164792
1122a25731
121295a3b4
1391c4419
145c19080
153d25ce7
hex2a1e6b8

44164792 has 64 divisors (see below), whose sum is σ = 97920000. Its totient is φ = 18285696.

The previous prime is 44164789. The next prime is 44164817. The reversal of 44164792 is 29746144.

It is a happy number.

44164792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 296334 + ... + 296482.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 244164792 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 44164792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960000).

44164792 is an abundant number, since it is smaller than the sum of its proper divisors (53755208).

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

44164792 is a wasteful number, since it uses less digits than its factorization.

44164792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 44164792 is about 6645.6596361836. The cubic root of 44164792 is about 353.4750216922.

It can be divided in two parts, 44 and 164792, that added together give a square (164836 = 4062).

The spelling of 44164792 in words is "forty-four million, one hundred sixty-four thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 67 79 134 149 158 268 298 316 469 536 553 596 632 938 1043 1106 1192 1876 2086 2212 3752 4172 4424 5293 8344 9983 10586 11771 19966 21172 23542 37051 39932 42344 47084 69881 74102 79864 82397 94168 139762 148204 164794 279524 296408 329588 559048 659176 788657 1577314 3154628 5520599 6309256 11041198 22082396 44164792