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44296992 = 2532374157
BaseRepresentation
bin1010100011111…
…0101100100000
310002100112001100
42220332230200
542320000432
64221234400
71045342515
oct250765440
9102315040
1044296992
1123005a93
1212a02a00
13923c64c
145c5130c
153d5007c
hex2a3eb20

44296992 has 72 divisors (see below), whose sum is σ = 129405276. Its totient is φ = 14363136.

The previous prime is 44296981. The next prime is 44296997. The reversal of 44296992 is 29969244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 1838736 = 6516^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44296997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8578 + ... + 12734.

Almost surely, 244296992 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 44296992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64702638).

44296992 is an abundant number, since it is smaller than the sum of its proper divisors (85108284).

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

44296992 is a wasteful number, since it uses less digits than its factorization.

44296992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4199 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 44296992 is about 6655.5985455855. The cubic root of 44296992 is about 353.8273600410.

The spelling of 44296992 in words is "forty-four million, two hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 4157 5328 8314 10656 12471 16628 24942 33256 37413 49884 66512 74826 99768 133024 149652 153809 199536 299304 307618 399072 461427 598608 615236 922854 1197216 1230472 1384281 1845708 2460944 2768562 3691416 4921888 5537124 7382832 11074248 14765664 22148496 44296992