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5148144 = 243317701
BaseRepresentation
bin10011101000110111110000
3100200112221000
4103220313300
52304220034
6302202000
761521111
oct23506760
910615830
105148144
1129a6971
121883300
1310b3351
14980208
156ba599
hex4e8df0

5148144 has 80 divisors (see below), whose sum is σ = 15668640. Its totient is φ = 1612800.

The previous prime is 5148131. The next prime is 5148151. The reversal of 5148144 is 4418415.

It is a happy number.

5148144 is a `hidden beast` number, since 514 + 8 + 144 = 666.

It is a super-3 number, since 3×51481443 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6994 + ... + 7694.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 25148144 is an apocalyptic number.

5148144 is a gapful number since it is divisible by the number (54) 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 5148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834320).

5148144 is an abundant number, since it is smaller than the sum of its proper divisors (10520496).

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

5148144 is a wasteful number, since it uses less digits than its factorization.

5148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 5148144 is about 2268.9521810739. The cubic root of 5148144 is about 172.6700025361.

The spelling of 5148144 in words is "five million, one hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 701 816 918 1224 1402 1836 2103 2448 2804 3672 4206 5608 6309 7344 8412 11216 11917 12618 16824 18927 23834 25236 33648 35751 37854 47668 50472 71502 75708 95336 100944 107253 143004 151416 190672 214506 286008 302832 321759 429012 572016 643518 858024 1287036 1716048 2574072 5148144