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44285856 = 2532331647
BaseRepresentation
bin1010100011101…
…1111110100000
310002022221202220
42220323332200
542314121411
64221111040
71045265166
oct250737640
9102287686
1044285856
1122aa868a
12129b8480
139237564
145c4b236
153d4bb06
hex2a3bfa0

44285856 has 96 divisors (see below), whose sum is σ = 125411328. Its totient is φ = 13643520.

The previous prime is 44285849. The next prime is 44285873. The reversal of 44285856 is 65858244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×442858562 = 3922474083305472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68125 + ... + 68771.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 244285856 is an apocalyptic number.

44285856 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 44285856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705664).

44285856 is an abundant number, since it is smaller than the sum of its proper divisors (81125472).

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

44285856 is a wasteful number, since it uses less digits than its factorization.

44285856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 44285856 is about 6654.7619040804. The cubic root of 44285856 is about 353.7977075257.

The spelling of 44285856 in words is "forty-four million, two hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 647 713 736 744 992 1104 1294 1426 1488 1941 2139 2208 2588 2852 2976 3882 4278 5176 5704 7764 8556 10352 11408 14881 15528 17112 20057 20704 22816 29762 31056 34224 40114 44643 59524 60171 62112 68448 80228 89286 119048 120342 160456 178572 238096 240684 320912 357144 461311 476192 481368 641824 714288 922622 962736 1383933 1428576 1845244 1925472 2767866 3690488 5535732 7380976 11071464 14761952 22142928 44285856