Search a number
-
+
2493024984 = 2332113306419
BaseRepresentation
bin1001010010011000…
…1000101011011000
320102202001210100200
42110212020223120
520101203244414
61051214102200
7115531235262
oct22446105330
96382053320
102493024984
11106a27a62a
12596aaa960
13309659718
14199156b32
15e8cee109
hex94988ad8

2493024984 has 48 divisors (see below), whose sum is σ = 6811716600. Its totient is φ = 823651584.

The previous prime is 2493024983. The next prime is 2493024997. The reversal of 2493024984 is 4894203942.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493024983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145074 + ... + 161345.

Almost surely, 22493024984 is an apocalyptic number.

2493024984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2493024984 is an abundant number, since it is smaller than the sum of its proper divisors (4318691616).

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

2493024984 is a wasteful number, since it uses less digits than its factorization.

2493024984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306544 (or 306537 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2493024984 is about 49930.2011211651. The cubic root of 2493024984 is about 1355.9454255322.

The spelling of 2493024984 in words is "two billion, four hundred ninety-three million, twenty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 306419 612838 919257 1225676 1838514 2451352 2757771 3677028 5515542 7354056 11031084 22062168 34625347 69250694 103876041 138501388 207752082 277002776 311628123 415504164 623256246 831008328 1246512492 2493024984