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2468043984 = 243712495881
BaseRepresentation
bin1001001100011011…
…0101110011010000
320101000001121212110
42103012311303100
520023304401414
61044522425320
7115106012340
oct22306656320
96330047773
102468043984
111057167a7a
1258a662240
13304421073
14195ad2d20
15e6a17459
hex931b5cd0

2468043984 has 80 divisors (see below), whose sum is σ = 7293680000. Its totient is φ = 704471040.

The previous prime is 2468043983. The next prime is 2468043989. The reversal of 2468043984 is 4893408642.

It is a super-2 number, since 2×24680439842 = 12182482213917184512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468043983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416724 + ... + 422604.

It is an arithmetic number, because the mean of its divisors is an integer number (91171000).

Almost surely, 22468043984 is an apocalyptic number.

2468043984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2468043984 is an abundant number, since it is smaller than the sum of its proper divisors (4825636016).

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

2468043984 is a wasteful number, since it uses less digits than its factorization.

2468043984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7142 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 2468043984 is about 49679.4120738158. The cubic root of 2468043984 is about 1351.4011942753.

The spelling of 2468043984 in words is "two billion, four hundred sixty-eight million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1249 2498 3747 4996 5881 7494 8743 9992 11762 14988 17486 17643 19984 23524 26229 29976 34972 35286 41167 47048 52458 59952 69944 70572 82334 94096 104916 123501 139888 141144 164668 209832 247002 282288 329336 419664 494004 658672 988008 1976016 7345369 14690738 22036107 29381476 44072214 51417583 58762952 88144428 102835166 117525904 154252749 176288856 205670332 308505498 352577712 411340664 617010996 822681328 1234021992 2468043984