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149533488 = 243213232151
BaseRepresentation
bin10001110100110…
…11001100110000
3101102101002101100
420322123030300
5301240032423
622501004400
73464004456
oct1072331460
9342332340
10149533488
11774537a5
12420b3700
1324c97770
1415c069d6
15d1db343
hex8e9b330

149533488 has 180 divisors, whose sum is σ = 474243952. Its totient is φ = 43718400.

The previous prime is 149533453. The next prime is 149533493. The reversal of 149533488 is 884335941.

It is a super-2 number, since 2×1495334882 = 44720528066892288, which contains 22 as substring.

Its product of digits (414720) is a multiple of the sum of its prime divisors (192).

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 35 ways as a sum of consecutive naturals, for example, 990213 + ... + 990363.

Almost surely, 2149533488 is an apocalyptic number.

149533488 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 149533488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237121976).

149533488 is an abundant number, since it is smaller than the sum of its proper divisors (324710464).

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

149533488 is a wasteful number, since it uses less digits than its factorization.

149533488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 149533488 is about 12228.3886101154. The cubic root of 149533488 is about 530.7778870383. Note that the first 3 decimals are identical.

The spelling of 149533488 in words is "one hundred forty-nine million, five hundred thirty-three thousand, four hundred eighty-eight".