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44407296 = 293223419
BaseRepresentation
bin1010100101100…
…1101000000000
310002120010100200
42221121220000
542332013141
64223445200
71046312223
oct251315000
9102503320
1044407296
112308094a
1212a56800
13927a90b
145c7d5ba
153d72ab6
hex2a59a00

44407296 has 120 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 14125056.

The previous prime is 44407267. The next prime is 44407301. The reversal of 44407296 is 69270444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 44407296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105775 + ... + 106193.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 244407296 is an apocalyptic number.

44407296 is a gapful number since it is divisible by the number (46) 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 44407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

44407296 is an abundant number, since it is smaller than the sum of its proper divisors (89646624).

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

44407296 is a wasteful number, since it uses less digits than its factorization.

44407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 44407296 is about 6663.8799508995. The cubic root of 44407296 is about 354.1208052696.

The spelling of 44407296 in words is "forty-four million, four hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 419 512 552 576 736 768 828 838 1104 1152 1257 1472 1536 1656 1676 2208 2304 2514 2944 3312 3352 3771 4416 4608 5028 5888 6624 6704 7542 8832 9637 10056 11776 13248 13408 15084 17664 19274 20112 26496 26816 28911 30168 35328 38548 40224 52992 53632 57822 60336 77096 80448 86733 105984 107264 115644 120672 154192 160896 173466 214528 231288 241344 308384 321792 346932 462576 482688 616768 643584 693864 925152 965376 1233536 1387728 1850304 1930752 2467072 2775456 3700608 4934144 5550912 7401216 11101824 14802432 22203648 44407296