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2493365904 = 243217315041
BaseRepresentation
bin1001010010011101…
…1011111010010000
320102202201010000100
42110213123322100
520101300202104
61051225252400
7115534155231
oct22447337220
96382633010
102493365904
11106a492787
12597034100
13309748953
14199205088
15e8d6a139
hex949dbe90

2493365904 has 30 divisors (see below), whose sum is σ = 6977961926. Its totient is φ = 831121920.

The previous prime is 2493365893. The next prime is 2493365921. The reversal of 2493365904 is 4095633942.

2493365904 is a `hidden beast` number, since 24 + 9 + 3 + 36 + 590 + 4 = 666.

2493365904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1845561600 + 647804304 = 42960^2 + 25452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2493365904.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8657377 + ... + 8657664.

Almost surely, 22493365904 is an apocalyptic number.

2493365904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2493365904 is an abundant number, since it is smaller than the sum of its proper divisors (4484596022).

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

2493365904 is a wasteful number, since it uses less digits than its factorization.

2493365904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17315055 (or 17315046 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2493365904 is about 49933.6149702783. The cubic root of 2493365904 is about 1356.0072310158.

The spelling of 2493365904 in words is "two billion, four hundred ninety-three million, three hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 17315041 34630082 51945123 69260164 103890246 138520328 155835369 207780492 277040656 311670738 415560984 623341476 831121968 1246682952 2493365904