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55332630 = 232547103127
BaseRepresentation
bin1101001100010…
…0111100010110
310212010012002200
43103010330112
5103131121010
65253545330
71241214423
oct323047426
9125105080
1055332630
1129263251
1216645246
13b604702
1474c4d4a
154ccecc0
hex34c4f16

55332630 has 96 divisors (see below), whose sum is σ = 149520384. Its totient is φ = 14188608.

The previous prime is 55332623. The next prime is 55332647. The reversal of 55332630 is 3623355.

55332630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55332594 and 55332603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435627 + ... + 435753.

It is an arithmetic number, because the mean of its divisors is an integer number (1557504).

Almost surely, 255332630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55332630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74760192).

55332630 is an abundant number, since it is smaller than the sum of its proper divisors (94187754).

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

55332630 is a wasteful number, since it uses less digits than its factorization.

55332630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 55332630 is about 7438.5905923098. The cubic root of 55332630 is about 381.0603578917.

Adding to 55332630 its reverse (3623355), we get a palindrome (58955985).

The spelling of 55332630 in words is "fifty-five million, three hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 103 127 141 206 235 254 282 309 381 423 470 515 618 635 705 762 846 927 1030 1143 1270 1410 1545 1854 1905 2115 2286 3090 3810 4230 4635 4841 5715 5969 9270 9682 11430 11938 13081 14523 17907 24205 26162 29046 29845 35814 39243 43569 48410 53721 59690 65405 72615 78486 87138 89535 107442 117729 130810 145230 179070 196215 217845 235458 268605 392430 435690 537210 588645 614807 1177290 1229614 1844421 3074035 3688842 5533263 6148070 9222105 11066526 18444210 27666315 55332630