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2985045504 = 29372172333
BaseRepresentation
bin1011000111101100…
…0010111000000000
321201000220000121220
42301323002320000
522103132424004
61212111515040
7133654316400
oct26173027000
97630800556
102985045504
1112a1a86961
126b3828a80
1338757981c
14204632800
151270dcdd9
hexb1ec2e00

2985045504 has 240 divisors, whose sum is σ = 9799046928. Its totient is φ = 802357248.

The previous prime is 2985045499. The next prime is 2985045523. The reversal of 2985045504 is 4055405892.

It is a super-2 number, since 2×29850455042 = 17820993321901228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1278322 + ... + 1280654.

Almost surely, 22985045504 is an apocalyptic number.

2985045504 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 2985045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899523464).

2985045504 is an abundant number, since it is smaller than the sum of its proper divisors (6814001424).

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

2985045504 is a wasteful number, since it uses less digits than its factorization.

2985045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2985045504 is about 54635.5699521841. The cubic root of 2985045504 is about 1439.8491199941.

The spelling of 2985045504 in words is "two billion, nine hundred eighty-five million, forty-five thousand, five hundred four".