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2483290464 = 25331834439
BaseRepresentation
bin1001010000000100…
…0000000101100000
320102001202020002220
42110001000011200
520041210243324
61050225311040
7115352422614
oct22401000540
96361666086
102483290464
111064830976
12593795480
1330762b955
14197b41344
15e8029b79
hex94040160

2483290464 has 48 divisors (see below), whose sum is σ = 6728924160. Its totient is φ = 801060480.

The previous prime is 2483290451. The next prime is 2483290489. The reversal of 2483290464 is 4640923842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414244 + ... + 420195.

It is an arithmetic number, because the mean of its divisors is an integer number (140185920).

Almost surely, 22483290464 is an apocalyptic number.

2483290464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2483290464 is an abundant number, since it is smaller than the sum of its proper divisors (4245633696).

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

2483290464 is a wasteful number, since it uses less digits than its factorization.

2483290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834483 (or 834475 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2483290464 is about 49832.6244944013. The cubic root of 2483290464 is about 1354.1782691226.

The spelling of 2483290464 in words is "two billion, four hundred eighty-three million, two hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 834439 1668878 2503317 3337756 5006634 6675512 10013268 13351024 20026536 25867609 26702048 40053072 51735218 77602827 80106144 103470436 155205654 206940872 310411308 413881744 620822616 827763488 1241645232 2483290464