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2493907947 = 34193834231
BaseRepresentation
bin1001010010100110…
…0000001111101011
320102210201122120000
42110221200033223
520101420023242
61051245034043
7115541603436
oct22451401753
96383648500
102493907947
11106a822a53
12597255923
133098a859b
1419930681d
15e8e25a4c
hex94a603eb

2493907947 has 40 divisors (see below), whose sum is σ = 3932712960. Its totient is φ = 1570615920.

The previous prime is 2493907921. The next prime is 2493907961. The reversal of 2493907947 is 7497093942.

It is a happy number.

2493907947 is a `hidden beast` number, since 249 + 390 + 7 + 9 + 4 + 7 = 666.

It is not a de Polignac number, because 2493907947 - 214 = 2493891563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2493907893 and 2493907902.

It is not an unprimeable number, because it can be changed into a prime (2493907547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 587322 + ... + 591552.

It is an arithmetic number, because the mean of its divisors is an integer number (98317824).

Almost surely, 22493907947 is an apocalyptic number.

2493907947 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2493907947 is a deficient number, since it is larger than the sum of its proper divisors (1438805013).

2493907947 is a wasteful number, since it uses less digits than its factorization.

2493907947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 2493907947 is about 49939.0423116023. The cubic root of 2493907947 is about 1356.1054865466.

The spelling of 2493907947 in words is "two billion, four hundred ninety-three million, nine hundred seven thousand, nine hundred forty-seven".

Divisors: 1 3 9 19 27 57 81 171 383 513 1149 1539 3447 4231 7277 10341 12693 21831 31023 38079 65493 80389 114237 196479 241167 342711 589437 723501 1620473 2170503 4861419 6511509 14584257 30788987 43752771 92366961 131258313 277100883 831302649 2493907947