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2084930496 = 2633111923251
BaseRepresentation
bin111110001000101…
…1000001111000000
312101022011102222000
41330101120033000
513232220233441
6542515144000
7102444421365
oct17421301700
95338142860
102084930496
1197a986160
124a22a5000
13272c429ac
1415ac8646c
15c308c2b6
hex7c4583c0

2084930496 has 448 divisors, whose sum is σ = 7373721600. Its totient is φ = 570240000.

The previous prime is 2084930489. The next prime is 2084930503. The reversal of 2084930496 is 6940394802.

It is an interprime number because it is at equal distance from previous prime (2084930489) and next prime (2084930503).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8306371 + ... + 8306621.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 22084930496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2084930496 is an abundant number, since it is smaller than the sum of its proper divisors (5288791104).

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

2084930496 is a wasteful number, since it uses less digits than its factorization.

2084930496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2084930496 is about 45661.0391471767. The cubic root of 2084930496 is about 1277.5086828377.

The spelling of 2084930496 in words is "two billion, eighty-four million, nine hundred thirty thousand, four hundred ninety-six".