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2824989048 = 23347622793
BaseRepresentation
bin1010100001100001…
…1110100101111000
321021212201022110000
42220120132211320
521241144122143
61144153153000
7130002003450
oct25030364570
97255638400
102824989048
11121a6a60a2
1266a0bb760
1336036946b
141cb28ad60
15118023bd3
hexa861e978

2824989048 has 80 divisors (see below), whose sum is σ = 9042968880. Its totient is φ = 807138432.

The previous prime is 2824989047. The next prime is 2824989067. The reversal of 2824989048 is 8409894282.

2824989048 is a `hidden beast` number, since 28 + 2 + 498 + 90 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2824988985 and 2824989003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824989043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 306861 + ... + 315932.

It is an arithmetic number, because the mean of its divisors is an integer number (113037111).

Almost surely, 22824989048 is an apocalyptic number.

2824989048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2824989048 is an abundant number, since it is smaller than the sum of its proper divisors (6217979832).

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

2824989048 is a wasteful number, since it uses less digits than its factorization.

2824989048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622818 (or 622805 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2824989048 is about 53150.6260358239. The cubic root of 2824989048 is about 1413.6403172511.

The spelling of 2824989048 in words is "two billion, eight hundred twenty-four million, nine hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 622793 1245586 1868379 2491172 3736758 4359551 4982344 5605137 7473516 8719102 11210274 13078653 14947032 16815411 17438204 22420548 26157306 33630822 34876408 39235959 44841096 50446233 52314612 67261644 78471918 100892466 104629224 117707877 134523288 156943836 201784932 235415754 313887672 353123631 403569864 470831508 706247262 941663016 1412494524 2824989048