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55001556 = 223223181367
BaseRepresentation
bin1101000111010…
…0000111010100
310211111100221200
43101310013110
5103040022211
65242512500
71235335251
oct321640724
9124440850
1055001556
1129057535
1216505730
13b519acc
14743a428
154c66b56
hex34741d4

55001556 has 72 divisors (see below), whose sum is σ = 146275584. Its totient is φ = 17392320.

The previous prime is 55001549. The next prime is 55001567. The reversal of 55001556 is 65510055.

55001556 is a `hidden beast` number, since 5 + 500 + 155 + 6 = 666.

It is a super-2 number, since 2×550015562 = 6050342324842272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149685 + ... + 150051.

Almost surely, 255001556 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 55001556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73137792).

55001556 is an abundant number, since it is smaller than the sum of its proper divisors (91274028).

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

55001556 is a wasteful number, since it uses less digits than its factorization.

55001556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 55001556 is about 7416.3033918523. The cubic root of 55001556 is about 380.2988323417.

It can be divided in two parts, 5500 and 1556, that added together give a square (7056 = 842).

The spelling of 55001556 in words is "fifty-five million, one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 367 414 543 724 734 828 1086 1101 1468 1629 2172 2202 3258 3303 4163 4404 6516 6606 8326 8441 12489 13212 16652 16882 24978 25323 33764 37467 49956 50646 66427 74934 75969 101292 132854 149868 151938 199281 265708 303876 398562 597843 797124 1195686 1527821 2391372 3055642 4583463 6111284 9166926 13750389 18333852 27500778 55001556