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2450131992 = 23327111133911
BaseRepresentation
bin1001001000001010…
…0000110000011000
320022202100121020100
42102002200300120
520004213210432
61043042455400
7114500530650
oct22202406030
96282317210
102450131992
111048043480
12584664560
133007bc159
1419358d360
15e517a07c
hex920a0c18

2450131992 has 192 divisors, whose sum is σ = 8348520960. Its totient is φ = 630604800.

The previous prime is 2450131969. The next prime is 2450131993. The reversal of 2450131992 is 2991310542.

2450131992 is a `hidden beast` number, since 2 + 450 + 13 + 199 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450131993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624517 + ... + 628427.

It is an arithmetic number, because the mean of its divisors is an integer number (43481880).

Almost surely, 22450131992 is an apocalyptic number.

2450131992 is a gapful number since it is divisible by the number (22) 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 2450131992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174260480).

2450131992 is an abundant number, since it is smaller than the sum of its proper divisors (5898388968).

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

2450131992 is a wasteful number, since it uses less digits than its factorization.

2450131992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2450131992 is about 49498.8079856475. The cubic root of 2450131992 is about 1348.1239587569.

The spelling of 2450131992 in words is "two billion, four hundred fifty million, one hundred thirty-one thousand, nine hundred ninety-two".