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2492687424 = 263172167269
BaseRepresentation
bin1001010010010011…
…0110010001000000
320102201102122022110
42110210312101000
520101111444144
61051202535320
7115525331163
oct22444662100
96381378273
102492687424
11106a069a57
12596967540
1330956bb96
141990a9ada
15e8c840b9
hex94936440

2492687424 has 168 divisors, whose sum is σ = 7074164160. Its totient is φ = 774447104.

The previous prime is 2492687389. The next prime is 2492687429. The reversal of 2492687424 is 4247862942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2492687429) 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 23 ways as a sum of consecutive naturals, for example, 9266362 + ... + 9266630.

It is an arithmetic number, because the mean of its divisors is an integer number (42108120).

Almost surely, 22492687424 is an apocalyptic number.

2492687424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537082080).

2492687424 is an abundant number, since it is smaller than the sum of its proper divisors (4581476736).

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

2492687424 is a wasteful number, since it uses less digits than its factorization.

2492687424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 458 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 2492687424 is about 49926.8206878828. The cubic root of 2492687424 is about 1355.8842236321.

The spelling of 2492687424 in words is "two billion, four hundred ninety-two million, six hundred eighty-seven thousand, four hundred twenty-four".