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244095488 = 29713331
BaseRepresentation
bin11101000110010…
…01101000000000
3122000022100001122
432203021220000
5444442023423
640115451412
76022530440
oct1643115000
9560270048
10244095488
1111587060a
12698b6b68
133b756000
14245c0120
15166698c8
hexe8c9a00

244095488 has 160 divisors (see below), whose sum is σ = 623293440. Its totient is φ = 93450240.

The previous prime is 244095473. The next prime is 244095491. The reversal of 244095488 is 884590442.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 244095488 = 1043 + 6243 = 4923 + 5003.

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, 7874033 + ... + 7874063.

It is an arithmetic number, because the mean of its divisors is an integer number (3895584).

Almost surely, 2244095488 is an apocalyptic number.

244095488 is a gapful number since it is divisible by the number (28) 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 244095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311646720).

244095488 is an abundant number, since it is smaller than the sum of its proper divisors (379197952).

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

244095488 is an frugal number, since it uses more digits than its factorization.

244095488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 244095488 is about 15623.5555492340. Note that the first 4 decimals coincide. The cubic root of 244095488 is about 624.9614807194.

The spelling of 244095488 in words is "two hundred forty-four million, ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 169 182 208 217 224 248 256 338 364 403 416 434 448 496 512 676 728 806 832 868 896 992 1183 1352 1456 1612 1664 1736 1792 1984 2197 2366 2704 2821 2912 3224 3328 3472 3584 3968 4394 4732 5239 5408 5642 5824 6448 6656 6944 7936 8788 9464 10478 10816 11284 11648 12896 13888 15379 15872 17576 18928 20956 21632 22568 23296 25792 27776 30758 35152 36673 37856 41912 43264 45136 46592 51584 55552 61516 68107 70304 73346 75712 83824 86528 90272 103168 111104 123032 136214 140608 146692 151424 167648 180544 206336 246064 272428 281216 293384 302848 335296 361088 476749 492128 544856 562432 586768 605696 670592 722176 953498 984256 1089712 1124864 1173536 1341184 1444352 1906996 1968512 2179424 2347072 2682368 3813992 3937024 4358848 4694144 7627984 7874048 8717696 9388288 15255968 17435392 18776576 30511936 34870784 61023872 122047744 244095488