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2421293952 = 273711174817
BaseRepresentation
bin1001000001010010…
…0000001110000000
320020202002110212210
42100110200032000
514424322401302
61040132422120
7114000442020
oct22024401600
96222073783
102421293952
111032836a90
12576a77940
132c783301c
1418d803a80
15e288066c
hex90520380

2421293952 has 256 divisors, whose sum is σ = 8492014080. Its totient is φ = 591790080.

The previous prime is 2421293939. The next prime is 2421294041. The reversal of 2421293952 is 2593921242.

It is a self number, because there is not a number n which added to its sum of digits gives 2421293952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500248 + ... + 505064.

It is an arithmetic number, because the mean of its divisors is an integer number (33171930).

Almost surely, 22421293952 is an apocalyptic number.

2421293952 is a gapful number since it is divisible by the number (22) 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 2421293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246007040).

2421293952 is an abundant number, since it is smaller than the sum of its proper divisors (6070720128).

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

2421293952 is a wasteful number, since it uses less digits than its factorization.

2421293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4857 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 2421293952 is about 49206.6454048638. The cubic root of 2421293952 is about 1342.8139337753.

The spelling of 2421293952 in words is "two billion, four hundred twenty-one million, two hundred ninety-three thousand, nine hundred fifty-two".