Search a number
-
+
55879512 = 23313223599
BaseRepresentation
bin1101010100101…
…0011101011000
310220010222021120
43111022131120
5103301121022
65313405240
71245653013
oct325123530
9126128246
1055879512
11295a7117
1216869820
13b766600
1475c837a
154d8bd5c
hex354a758

55879512 has 96 divisors (see below), whose sum is σ = 158112000. Its totient is φ = 16418688.

The previous prime is 55879511. The next prime is 55879553. The reversal of 55879512 is 21597855.

55879512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558795122 = 6245039722716288, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55879511) 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 23 ways as a sum of consecutive naturals, for example, 92989 + ... + 93587.

It is an arithmetic number, because the mean of its divisors is an integer number (1647000).

Almost surely, 255879512 is an apocalyptic number.

55879512 is a gapful number since it is divisible by the number (52) 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 55879512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056000).

55879512 is an abundant number, since it is smaller than the sum of its proper divisors (102232488).

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

55879512 is a wasteful number, since it uses less digits than its factorization.

55879512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its digits is 126000, while the sum is 42.

The square root of 55879512 is about 7475.2599954784. The cubic root of 55879512 is about 382.3116523258.

The spelling of 55879512 in words is "fifty-five million, eight hundred seventy-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 169 184 276 299 312 338 507 552 598 599 676 897 1014 1196 1198 1352 1794 1797 2028 2392 2396 3588 3594 3887 4056 4792 7176 7188 7774 7787 11661 13777 14376 15548 15574 23322 23361 27554 31096 31148 41331 46644 46722 55108 62296 82662 93288 93444 101231 110216 165324 179101 186888 202462 303693 330648 358202 404924 537303 607386 716404 809848 1074606 1214772 1432808 2149212 2328313 2429544 4298424 4656626 6984939 9313252 13969878 18626504 27939756 55879512