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553456416 = 25329613259
BaseRepresentation
bin100000111111010…
…001001100100000
31102120102111110210
4200333101030200
52113141101131
6130530254120
716500205362
oct4077211440
91376374423
10553456416
11264458aa7
12135427340
138a880806
145370cd32
15338c7146
hex20fd1320

553456416 has 96 divisors (see below), whose sum is σ = 1528027200. Its totient is φ = 175150080.

The previous prime is 553456399. The next prime is 553456441. The reversal of 553456416 is 614654355.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168195 + ... + 171453.

It is an arithmetic number, because the mean of its divisors is an integer number (15916950).

Almost surely, 2553456416 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 553456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764013600).

553456416 is an abundant number, since it is smaller than the sum of its proper divisors (974570784).

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

553456416 is a wasteful number, since it uses less digits than its factorization.

553456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3354 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 553456416 is about 23525.6544223535. The cubic root of 553456416 is about 821.0339999855.

The spelling of 553456416 in words is "five hundred fifty-three million, four hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 464 488 696 732 928 976 1392 1464 1769 1952 2784 2928 3259 3538 5307 5856 6518 7076 9777 10614 13036 14152 19554 21228 26072 28304 39108 42456 52144 56608 78216 84912 94511 104288 156432 169824 189022 198799 283533 312864 378044 397598 567066 596397 756088 795196 1134132 1192794 1512176 1590392 2268264 2385588 3024352 3180784 4536528 4771176 5765171 6361568 9073056 9542352 11530342 17295513 19084704 23060684 34591026 46121368 69182052 92242736 138364104 184485472 276728208 553456416