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400048400 = 24521000121
BaseRepresentation
bin10111110110000…
…100000100010000
31000212202120020102
4113312010010100
51304403022100
6103410231532
712625232603
oct2766040420
91025676212
10400048400
111958a9314
12b1b855a8
1364b5a63b
143b1b833a
15251c2cd5
hex17d84110

400048400 has 30 divisors (see below), whose sum is σ = 961117242. Its totient is φ = 160019200.

The previous prime is 400048391. The next prime is 400048409. The reversal of 400048400 is 4840004.

It is an interprime number because it is at equal distance from previous prime (400048391) and next prime (400048409).

It can be written as a sum of positive squares in 3 ways, for example, as 139806976 + 260241424 = 11824^2 + 16132^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (400048409) 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 5 ways as a sum of consecutive naturals, for example, 499661 + ... + 500460.

Almost surely, 2400048400 is an apocalyptic number.

400048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400048400 is an abundant number, since it is smaller than the sum of its proper divisors (561068842).

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

400048400 is a wasteful number, since it uses less digits than its factorization.

400048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000139 (or 1000128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 400048400 is about 20001.2099633997. The cubic root of 400048400 is about 736.8360163836.

Adding to 400048400 its reverse (4840004), we get a palindrome (404888404).

The spelling of 400048400 in words is "four hundred million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1000121 2000242 4000484 5000605 8000968 10001210 16001936 20002420 25003025 40004840 50006050 80009680 100012100 200024200 400048400