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44292136 = 23741101191
BaseRepresentation
bin1010100011110…
…1100000101000
310002100021101111
42220331200220
542314322021
64221200104
71045322410
oct250754050
9102307344
1044292136
1123002379
1212a00034
13923a385
145c4d640
153d4d8e1
hex2a3d828

44292136 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 18240000.

The previous prime is 44292133. The next prime is 44292169. The reversal of 44292136 is 63129244.

It is a happy number.

It is a super-2 number, since 2×442921362 = 3923586622884992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44292098 and 44292107.

It is not an unprimeable number, because it can be changed into a prime (44292133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231801 + ... + 231991.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 244292136 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 44292136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

44292136 is an abundant number, since it is smaller than the sum of its proper divisors (54411224).

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

44292136 is a wasteful number, since it uses less digits than its factorization.

44292136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 44292136 is about 6655.2337299302. The cubic root of 44292136 is about 353.8144302809.

The spelling of 44292136 in words is "forty-four million, two hundred ninety-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 101 164 191 202 287 328 382 404 574 707 764 808 1148 1337 1414 1528 2296 2674 2828 4141 5348 5656 7831 8282 10696 15662 16564 19291 28987 31324 33128 38582 54817 57974 62648 77164 109634 115948 135037 154328 219268 231896 270074 438536 540148 790931 1080296 1581862 3163724 5536517 6327448 11073034 22146068 44292136