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553873408 = 2121119647
BaseRepresentation
bin100001000000110…
…111000000000000
31102121012200110221
4201000313000000
52113242422113
6130543232424
716503563164
oct4100670000
91377180427
10553873408
11264713320
121355a8714
138a99855a
14537baca4
153395a98d
hex21037000

553873408 has 104 divisors (see below), whose sum is σ = 1273864320. Its totient is φ = 238141440.

The previous prime is 553873403. The next prime is 553873477. The reversal of 553873408 is 804378355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553873403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855741 + ... + 856387.

Almost surely, 2553873408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636932160).

553873408 is an abundant number, since it is smaller than the sum of its proper divisors (719990912).

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

553873408 is a wasteful number, since it uses less digits than its factorization.

553873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 553873408 is about 23534.5152488850. The cubic root of 553873408 is about 821.2401460962.

The spelling of 553873408 in words is "five hundred fifty-three million, eight hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 647 704 836 1024 1216 1294 1408 1672 2048 2432 2588 2816 3344 4096 4864 5176 5632 6688 7117 9728 10352 11264 12293 13376 14234 19456 20704 22528 24586 26752 28468 38912 41408 45056 49172 53504 56936 77824 82816 98344 107008 113872 135223 165632 196688 214016 227744 270446 331264 393376 428032 455488 540892 662528 786752 856064 910976 1081784 1325056 1573504 1821952 2163568 2650112 3147008 3643904 4327136 6294016 7287808 8654272 12588032 14575616 17308544 25176064 29151232 34617088 50352128 69234176 138468352 276936704 553873408