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44122456 = 23729101269
BaseRepresentation
bin1010100001010…
…0000101011000
310002000122122001
42220110011120
542243404311
64213410344
71044014620
oct250240530
9102018561
1044122456
11229a6944
12129399b4
1391ab081
145c07880
153d184c1
hex2a14158

44122456 has 64 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 18009600.

The previous prime is 44122451. The next prime is 44122457. The reversal of 44122456 is 65422144.

It is a super-2 number, since 2×441224562 = 3893582246943872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163890 + ... + 164158.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 244122456 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 44122456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

44122456 is an abundant number, since it is smaller than the sum of its proper divisors (55021544).

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

44122456 is a wasteful number, since it uses less digits than its factorization.

44122456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 44122456 is about 6642.4736356270. The cubic root of 44122456 is about 353.3620395173.

It can be divided in two parts, 44 and 122456, that added together give a square (122500 = 3502).

The spelling of 44122456 in words is "forty-four million, one hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 101 116 202 203 232 269 404 406 538 707 808 812 1076 1414 1624 1883 2152 2828 2929 3766 5656 5858 7532 7801 11716 15064 15602 20503 23432 27169 31204 41006 54338 54607 62408 82012 108676 109214 164024 190183 217352 218428 380366 436856 760732 787901 1521464 1575802 3151604 5515307 6303208 11030614 22061228 44122456