Search a number
-
+
149262048 = 25331397137
BaseRepresentation
bin10001110010110…
…00111011100000
3101101212022001000
420321120323200
5301202341143
622451112000
73461464215
oct1071307340
9341768030
10149262048
1177288871
1241ba2600
1324c01050
1415b75b0c
15d185bd3
hex8e58ee0

149262048 has 192 divisors, whose sum is σ = 477126720. Its totient is φ = 45121536.

The previous prime is 149262041. The next prime is 149262067. The reversal of 149262048 is 840262941.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149262041) 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 31 ways as a sum of consecutive naturals, for example, 1089436 + ... + 1089572.

It is an arithmetic number, because the mean of its divisors is an integer number (2485035).

Almost surely, 2149262048 is an apocalyptic number.

149262048 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 149262048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238563360).

149262048 is an abundant number, since it is smaller than the sum of its proper divisors (327864672).

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

149262048 is a wasteful number, since it uses less digits than its factorization.

149262048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149262048 is about 12217.2848047346. The cubic root of 149262048 is about 530.4565284441.

The spelling of 149262048 in words is "one hundred forty-nine million, two hundred sixty-two thousand, forty-eight".