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2442495744 = 28321381547
BaseRepresentation
bin1001000110010101…
…1000011100000000
320022012222122021100
42101211120130000
520000234330434
61042211054400
7114345604563
oct22145303400
96265878240
102442495744
1110437a8227
12581ba1400
132cc047470
141925624da
15e466c699
hex91958700

2442495744 has 108 divisors (see below), whose sum is σ = 7584127096. Its totient is φ = 751527936.

The previous prime is 2442495743. The next prime is 2442495749. The reversal of 2442495744 is 4475942442.

It is a super-2 number, since 2×24424957442 = 11931570918916227072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2442495744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442495743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10822 + ... + 70725.

Almost surely, 22442495744 is an apocalyptic number.

2442495744 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 2442495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792063548).

2442495744 is an abundant number, since it is smaller than the sum of its proper divisors (5141631352).

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

2442495744 is a wasteful number, since it uses less digits than its factorization.

2442495744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81582 (or 81565 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2442495744 is about 49421.6121145395. The cubic root of 2442495744 is about 1346.7219496089.

The spelling of 2442495744 in words is "two billion, four hundred forty-two million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 81547 163094 244641 326188 489282 652376 733923 978564 1060111 1304752 1467846 1957128 2120222 2609504 2935692 3180333 3914256 4240444 5219008 5871384 6360666 7828512 8480888 9540999 10438016 11742768 12721332 15657024 16961776 19081998 20876032 23485536 25442664 31314048 33923552 38163996 46971072 50885328 62628096 67847104 76327992 93942144 101770656 135694208 152655984 187884288 203541312 271388416 305311968 407082624 610623936 814165248 1221247872 2442495744