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2040477504 = 2631341127157
BaseRepresentation
bin111100110011111…
…0011011101000000
312021012111222220220
41321213303131000
513134330240004
6534250303040
7101364526002
oct17147633500
95235458826
102040477504
11957883a4a
1248b427a80
1326697a350
14154dd4372
15be20add9
hex799f3740

2040477504 has 224 divisors, whose sum is σ = 6040989696. Its totient is φ = 603832320.

The previous prime is 2040477503. The next prime is 2040477533. The reversal of 2040477504 is 4057740402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040477503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12996594 + ... + 12996750.

It is an arithmetic number, because the mean of its divisors is an integer number (26968704).

Almost surely, 22040477504 is an apocalyptic number.

2040477504 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 2040477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020494848).

2040477504 is an abundant number, since it is smaller than the sum of its proper divisors (4000512192).

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

2040477504 is a wasteful number, since it uses less digits than its factorization.

2040477504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2040477504 is about 45171.6449113822. The cubic root of 2040477504 is about 1268.3640878798.

The spelling of 2040477504 in words is "two billion, forty million, four hundred seventy-seven thousand, five hundred four".