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2441097984 = 283131391759
BaseRepresentation
bin1001000110000000…
…0011001100000000
320022010100121220110
42101200003030000
514444410113414
61042121111320
7114330663513
oct22140031400
96263317813
102441097984
111042a33056
12581628540
132cb9781a0
141922bad7a
15e4493459
hex91803300

2441097984 has 144 divisors (see below), whose sum is σ = 7050982400. Its totient is φ = 745279488.

The previous prime is 2441097937. The next prime is 2441098013. The reversal of 2441097984 is 4897901442.

It is a super-3 number, since 3×24410979843 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1386897 + ... + 1388655.

Almost surely, 22441097984 is an apocalyptic number.

2441097984 is a gapful number since it is divisible by the number (24) 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 2441097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525491200).

2441097984 is an abundant number, since it is smaller than the sum of its proper divisors (4609884416).

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

2441097984 is a wasteful number, since it uses less digits than its factorization.

2441097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2441097984 is about 49407.4689090627. The cubic root of 2441097984 is about 1346.4650056929.

The spelling of 2441097984 in words is "two billion, four hundred forty-one million, ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 556 624 768 832 834 1112 1248 1664 1668 1759 1807 2224 2496 3328 3336 3518 3614 4448 4992 5277 5421 6672 7036 7228 8896 9984 10554 10842 13344 14072 14456 17792 21108 21684 22867 26688 28144 28912 35584 42216 43368 45734 53376 56288 57824 68601 84432 86736 91468 106752 112576 115648 137202 168864 173472 182936 225152 231296 244501 274404 337728 346944 365872 450304 462592 489002 548808 675456 693888 731744 733503 978004 1097616 1350912 1387776 1463488 1467006 1956008 2195232 2926976 2934012 3178513 3912016 4390464 5853952 5868024 6357026 7824032 8780928 9535539 11736048 12714052 15648064 17561856 19071078 23472096 25428104 31296128 38142156 46944192 50856208 62592256 76284312 93888384 101712416 152568624 187776768 203424832 305137248 406849664 610274496 813699328 1220548992 2441097984