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2492433504 = 2536112883
BaseRepresentation
bin1001010010001111…
…1000010001100000
320102200221202000000
42110203320101200
520101030333004
61051153300000
7115523222661
oct22443702140
96380852000
102492433504
111069a06200
12596864600
133094b0432
14199041368
15e8c33c39
hex948f8460

2492433504 has 252 divisors, whose sum is σ = 8095890348. Its totient is φ = 754427520.

The previous prime is 2492433499. The next prime is 2492433533. The reversal of 2492433504 is 4053342942.

2492433504 is a `hidden beast` number, since 24 + 92 + 43 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2822247 + ... + 2823129.

It is an arithmetic number, because the mean of its divisors is an integer number (32126549).

Almost surely, 22492433504 is an apocalyptic number.

2492433504 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 2492433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047945174).

2492433504 is an abundant number, since it is smaller than the sum of its proper divisors (5603456844).

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

2492433504 is an equidigital number, since it uses as much as digits as its factorization.

2492433504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2492433504 is about 49924.2777013348. The cubic root of 2492433504 is about 1355.8381825856.

The spelling of 2492433504 in words is "two billion, four hundred ninety-two million, four hundred thirty-three thousand, five hundred four".