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7138248 = 23313137167
BaseRepresentation
bin11011001110101111001000
3111102122211120
4123032233020
53311410443
6412555240
7114450135
oct33165710
914378746
107138248
114036087
122482b20
13162c120
14d3b58c
15960083
hex6cebc8

7138248 has 64 divisors (see below), whose sum is σ = 19474560. Its totient is φ = 2167296.

The previous prime is 7138237. The next prime is 7138273. The reversal of 7138248 is 8428317.

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 15 ways as a sum of consecutive naturals, for example, 42661 + ... + 42827.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 27138248 is an apocalyptic number.

7138248 is a gapful number since it is divisible by the number (78) 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 7138248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737280).

7138248 is an abundant number, since it is smaller than the sum of its proper divisors (12336312).

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

7138248 is a wasteful number, since it uses less digits than its factorization.

7138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 7138248 is about 2671.7499883035. The cubic root of 7138248 is about 192.5442457467.

The spelling of 7138248 in words is "seven million, one hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 167 274 312 334 411 501 548 668 822 1002 1096 1336 1644 1781 2004 2171 3288 3562 4008 4342 5343 6513 7124 8684 10686 13026 14248 17368 21372 22879 26052 42744 45758 52104 68637 91516 137274 183032 274548 297427 549096 594854 892281 1189708 1784562 2379416 3569124 7138248