Search a number
-
+
15148008 = 2332613449
BaseRepresentation
bin111001110010…
…001111101000
31001111121011100
4321302033220
512334214013
61300401400
7242520201
oct71621750
931447140
1015148008
118606a17
1250a6260
1331a4b25
1420245a8
1514e3473
hexe723e8

15148008 has 48 divisors (see below), whose sum is σ = 41710500. Its totient is φ = 4965120.

The previous prime is 15147973. The next prime is 15148009. The reversal of 15148008 is 80084151.

It can be written as a sum of positive squares in 2 ways, for example, as 9474084 + 5673924 = 3078^2 + 2382^2 .

It is not an unprimeable number, because it can be changed into a prime (15148009) 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 11 ways as a sum of consecutive naturals, for example, 2668 + ... + 6116.

Almost surely, 215148008 is an apocalyptic number.

15148008 is a gapful number since it is divisible by the number (18) 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 15148008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855250).

15148008 is an abundant number, since it is smaller than the sum of its proper divisors (26562492).

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

15148008 is a wasteful number, since it uses less digits than its factorization.

15148008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 15148008 is about 3892.0441929660. The cubic root of 15148008 is about 247.4297076170.

The spelling of 15148008 in words is "fifteen million, one hundred forty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3449 4392 6898 10347 13796 20694 27592 31041 41388 62082 82776 124164 210389 248328 420778 631167 841556 1262334 1683112 1893501 2524668 3787002 5049336 7574004 15148008