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55594968 = 233111397167
BaseRepresentation
bin1101010000010…
…0111111011000
310212121111221220
43110010333120
5103213014333
65303332040
71243356312
oct324047730
9125544856
1055594968
1129422360
1216751020
13b696c40
1475527b2
154d328b3
hex3504fd8

55594968 has 128 divisors (see below), whose sum is σ = 165957120. Its totient is φ = 15298560.

The previous prime is 55594951. The next prime is 55594991. The reversal of 55594968 is 86949555.

55594968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55594968.

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 31 ways as a sum of consecutive naturals, for example, 332821 + ... + 332987.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 255594968 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 55594968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

55594968 is an abundant number, since it is smaller than the sum of its proper divisors (110362152).

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

55594968 is a wasteful number, since it uses less digits than its factorization.

55594968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 51.

The square root of 55594968 is about 7456.2033234080. The cubic root of 55594968 is about 381.6616248283.

The spelling of 55594968 in words is "fifty-five million, five hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 97 104 132 143 156 167 194 264 286 291 312 334 388 429 501 572 582 668 776 858 1002 1067 1144 1164 1261 1336 1716 1837 2004 2134 2171 2328 2522 3201 3432 3674 3783 4008 4268 4342 5044 5511 6402 6513 7348 7566 8536 8684 10088 11022 12804 13026 13871 14696 15132 16199 17368 22044 23881 25608 26052 27742 30264 32398 41613 44088 47762 48597 52104 55484 64796 71643 83226 95524 97194 110968 129592 143286 166452 178189 191048 194388 210587 286572 332904 356378 388776 421174 534567 573144 631761 712756 842348 1069134 1263522 1425512 1684696 2138268 2316457 2527044 4276536 4632914 5054088 6949371 9265828 13898742 18531656 27797484 55594968