Search a number
-
+
148882608 = 243271271163
BaseRepresentation
bin10001101111111…
…00010010110000
3101101011000112200
420313330102300
5301103220413
622435023200
73455324040
oct1067742260
9341130480
10148882608
1177049786
1241a3ab00
1324aca424
1415ab7720
15d10d573
hex8dfc4b0

148882608 has 120 divisors (see below), whose sum is σ = 480350208. Its totient is φ = 42166656.

The previous prime is 148882579. The next prime is 148882609. The reversal of 148882608 is 806288841.

It is a happy number.

148882608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (148882609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127435 + ... + 128597.

Almost surely, 2148882608 is an apocalyptic number.

148882608 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 148882608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240175104).

148882608 is an abundant number, since it is smaller than the sum of its proper divisors (331467600).

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

148882608 is a wasteful number, since it uses less digits than its factorization.

148882608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 148882608 is about 12201.7461045541. The cubic root of 148882608 is about 530.0066547165.

The spelling of 148882608 in words is "one hundred forty-eight million, eight hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1163 1524 1778 2032 2286 2326 2667 3048 3489 3556 4572 4652 5334 6096 6978 7112 8001 8141 9144 9304 10467 10668 13956 14224 16002 16282 18288 18608 20934 21336 24423 27912 32004 32564 41868 42672 48846 55824 64008 65128 73269 83736 97692 128016 130256 146538 147701 167472 195384 293076 295402 390768 443103 586152 590804 886206 1033907 1172304 1181608 1329309 1772412 2067814 2363216 2658618 3101721 3544824 4135628 5317236 6203442 7089648 8271256 9305163 10634472 12406884 16542512 18610326 21268944 24813768 37220652 49627536 74441304 148882608