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5506256 = 247211233
BaseRepresentation
bin10101000000010011010000
3101100202011102
4111000103100
52402200011
6314003532
764542140
oct25002320
911322142
105506256
113120a28
121a165a8
1311aa352
14a34920
1573b73b
hex5404d0

5506256 has 40 divisors (see below), whose sum is σ = 12302784. Its totient is φ = 2338560.

The previous prime is 5506231. The next prime is 5506271. The reversal of 5506256 is 6526055.

It is a congruent number.

It is an unprimeable number.

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, 23516 + ... + 23748.

Almost surely, 25506256 is an apocalyptic number.

5506256 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 5506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151392).

5506256 is an abundant number, since it is smaller than the sum of its proper divisors (6796528).

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

5506256 is a wasteful number, since it uses less digits than its factorization.

5506256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 5506256 is about 2346.5412845292. The cubic root of 5506256 is about 176.5843182529.

The spelling of 5506256 in words is "five million, five hundred six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 233 422 466 844 932 1477 1631 1688 1864 2954 3262 3376 3728 5908 6524 11816 13048 23632 26096 49163 98326 196652 344141 393304 688282 786608 1376564 2753128 5506256