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244150056 = 2332171731153
BaseRepresentation
bin11101000110101…
…10111100101000
3122000102002220200
432203112330220
51000000300211
640120552200
76023145513
oct1643267450
9560362820
10244150056
111158a8607
1269922660
133b774ab7
14245d5d7a
151667ab56
hexe8d6f28

244150056 has 96 divisors (see below), whose sum is σ = 704793960. Its totient is φ = 76087296.

The previous prime is 244150021. The next prime is 244150063. The reversal of 244150056 is 650051442.

It can be written as a sum of positive squares in 4 ways, for example, as 238702500 + 5447556 = 15450^2 + 2334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211176 + ... + 212328.

Almost surely, 2244150056 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 244150056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352396980).

244150056 is an abundant number, since it is smaller than the sum of its proper divisors (460643904).

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

244150056 is a wasteful number, since it uses less digits than its factorization.

244150056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 244150056 is about 15625.3017890855. The cubic root of 244150056 is about 625.0080476830.

The spelling of 244150056 in words is "two hundred forty-four million, one hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 173 204 306 346 408 519 612 692 1038 1153 1224 1384 1557 2076 2306 2941 3114 3459 4152 4612 5882 6228 6918 8823 9224 10377 11764 12456 13836 17646 19601 20754 23528 26469 27672 35292 39202 41508 52938 58803 70584 78404 83016 105876 117606 156808 176409 199469 211752 235212 352818 398938 470424 598407 705636 797876 1196814 1411272 1595752 1795221 2393628 3390973 3590442 4787256 6781946 7180884 10172919 13563892 14361768 20345838 27127784 30518757 40691676 61037514 81383352 122075028 244150056