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55146864 = 24329173229
BaseRepresentation
bin1101001001011…
…1100101110000
310211202202021110
43102113211300
5103104144424
65245553320
71236512013
oct322274560
9124682243
1055146864
1129146723
1216575840
13b56aca6
14747737a
154c94c29
hex3497970

55146864 has 80 divisors (see below), whose sum is σ = 148874400. Its totient is φ = 17568768.

The previous prime is 55146863. The next prime is 55146913. The reversal of 55146864 is 46864155.

It is a happy number.

55146864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55146863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 240702 + ... + 240930.

It is an arithmetic number, because the mean of its divisors is an integer number (1860930).

Almost surely, 255146864 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 55146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74437200).

55146864 is an abundant number, since it is smaller than the sum of its proper divisors (93727536).

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

55146864 is a wasteful number, since it uses less digits than its factorization.

55146864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 55146864 is about 7426.0934548388. The cubic root of 55146864 is about 380.6334402695.

The spelling of 55146864 in words is "fifty-five million, one hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 173 174 229 232 346 348 458 464 519 687 692 696 916 1038 1374 1384 1392 1832 2076 2748 2768 3664 4152 5017 5496 6641 8304 10034 10992 13282 15051 19923 20068 26564 30102 39617 39846 40136 53128 60204 79234 79692 80272 106256 118851 120408 158468 159384 237702 240816 316936 318768 475404 633872 950808 1148893 1901616 2297786 3446679 4595572 6893358 9191144 13786716 18382288 27573432 55146864