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553901376 = 263719109199
BaseRepresentation
bin100001000000111…
…101110101000000
31102121021002211210
4201000331311000
52113244321001
6130544010120
716504040550
oct4100756500
91377232753
10553901376
11264732336
12135600940
138a9a81c2
14537c7160
1533963dd6
hex2103dd40

553901376 has 224 divisors, whose sum is σ = 1788160000. Its totient is φ = 147806208.

The previous prime is 553901353. The next prime is 553901399. The reversal of 553901376 is 673109355.

It is an interprime number because it is at equal distance from previous prime (553901353) and next prime (553901399).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2783325 + ... + 2783523.

Almost surely, 2553901376 is an apocalyptic number.

553901376 is a gapful number since it is divisible by the number (56) 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 553901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894080000).

553901376 is an abundant number, since it is smaller than the sum of its proper divisors (1234258624).

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

553901376 is a wasteful number, since it uses less digits than its factorization.

553901376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 553901376 is about 23535.1094325053. The cubic root of 553901376 is about 821.2539687842.

The spelling of 553901376 in words is "five hundred fifty-three million, nine hundred one thousand, three hundred seventy-six".