Search a number
-
+
2498379968 = 26723242467
BaseRepresentation
bin1001010011101010…
…0100000011000000
320110010010212000102
42110322210003000
520104041124333
61051524541532
7115624610420
oct22472440300
96403125012
102498379968
1110722a7937
125988518a8
1330a7b2c56
14199b4c480
15e950aae8
hex94ea40c0

2498379968 has 56 divisors (see below), whose sum is σ = 5912339712. Its totient is φ = 1024176384.

The previous prime is 2498379967. The next prime is 2498379973. The reversal of 2498379968 is 8699738942.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2498379967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110930 + ... + 131537.

Almost surely, 22498379968 is an apocalyptic number.

2498379968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2498379968 is an abundant number, since it is smaller than the sum of its proper divisors (3413959744).

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

2498379968 is a wasteful number, since it uses less digits than its factorization.

2498379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242509 (or 242499 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 65.

The square root of 2498379968 is about 49983.7970546456. The cubic root of 2498379968 is about 1356.9155820569.

The spelling of 2498379968 in words is "two billion, four hundred ninety-eight million, three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 242467 484934 969868 1697269 1939736 3394538 3879472 5576741 6789076 7758944 11153482 13578152 15517888 22306964 27156304 39037187 44613928 54312608 78074374 89227856 108625216 156148748 178455712 312297496 356911424 624594992 1249189984 2498379968