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149536528 = 2429211113
BaseRepresentation
bin10001110100110…
…11111100010000
3101102101020112221
420322123330100
5301240132103
622501030424
73464016361
oct1072337420
9342336487
10149536528
1177456009
12420b5414
1324c98c6b
1415c07b68
15d1dc1bd
hex8e9bf10

149536528 has 30 divisors (see below), whose sum is σ = 300089114. Its totient is φ = 72183552.

The previous prime is 149536523. The next prime is 149536537. The reversal of 149536528 is 825635941.

149536528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 501264 + 149035264 = 708^2 + 12208^2 .

It is a super-2 number, since 2×1495365282 = 44722346412589568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149536523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7900 + ... + 19012.

Almost surely, 2149536528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149536528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150044557).

149536528 is an abundant number, since it is smaller than the sum of its proper divisors (150552586).

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

149536528 is a wasteful number, since it uses less digits than its factorization.

149536528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11144 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 149536528 is about 12228.5129104074. The cubic root of 149536528 is about 530.7814839000.

The spelling of 149536528 in words is "one hundred forty-nine million, five hundred thirty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 11113 13456 22226 44452 88904 177808 322277 644554 1289108 2578216 5156432 9346033 18692066 37384132 74768264 149536528