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2450139984 = 2432193072917
BaseRepresentation
bin1001001000001010…
…0010101101010000
320022202101000012100
42102002202231100
520004213434414
61043043000400
7114500563155
oct22202425520
96282330170
102450139984
111048049486
12584669100
133007c2996
1419359222c
15e517c609
hex920a2b50

2450139984 has 120 divisors (see below), whose sum is σ = 7243876640. Its totient is φ = 770943744.

The previous prime is 2450139983. The next prime is 2450140009. The reversal of 2450139984 is 4899310542.

2450139984 is a `hidden beast` number, since 24 + 501 + 39 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450139983) 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 23 ways as a sum of consecutive naturals, for example, 838494 + ... + 841410.

Almost surely, 22450139984 is an apocalyptic number.

2450139984 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 2450139984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621938320).

2450139984 is an abundant number, since it is smaller than the sum of its proper divisors (4793736656).

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

2450139984 is a wasteful number, since it uses less digits than its factorization.

2450139984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2450139984 is about 49498.8887147984. Note that the first 3 decimals coincide. The cubic root of 2450139984 is about 1348.1254245548.

The spelling of 2450139984 in words is "two billion, four hundred fifty million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 307 342 456 614 684 912 921 1228 1368 1842 2456 2736 2763 2917 3684 4912 5526 5833 5834 7368 8751 11052 11666 11668 14736 17499 17502 22104 23332 23336 26253 34998 35004 44208 46664 46672 52497 52506 55423 69996 70008 93328 104994 105012 110846 139992 140016 166269 209988 210024 221692 279984 332538 419976 420048 443384 498807 665076 839952 886768 895519 997614 1330152 1791038 1995228 2660304 2686557 3582076 3990456 5373114 7164152 7980912 8059671 10746228 14328304 16119342 17014861 21492456 32238684 34029722 42984912 51044583 64477368 68059444 102089166 128954736 136118888 153133749 204178332 272237776 306267498 408356664 612534996 816713328 1225069992 2450139984