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149531418 = 23223379953
BaseRepresentation
bin10001110100110…
…10101100011010
3101102100222112200
420322122230122
5301240001133
622500551030
73463665441
oct1072325432
9342328480
10149531418
1177452193
12420b2476
1324c9683a
1415c05d58
15d1da913
hex8e9ab1a

149531418 has 48 divisors (see below), whose sum is σ = 339318720. Its totient is φ = 47500992.

The previous prime is 149531407. The next prime is 149531419. The reversal of 149531418 is 814135941.

149531418 is digitally balanced in base 2 and base 3, because in such bases 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 (149531419) 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, 156430 + ... + 157382.

It is an arithmetic number, because the mean of its divisors is an integer number (7069140).

Almost surely, 2149531418 is an apocalyptic number.

149531418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149531418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169659360).

149531418 is an abundant number, since it is smaller than the sum of its proper divisors (189787302).

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

149531418 is a wasteful number, since it uses less digits than its factorization.

149531418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1360 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 149531418 is about 12228.3039707066. The cubic root of 149531418 is about 530.7754378315.

The spelling of 149531418 in words is "one hundred forty-nine million, five hundred thirty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 379 414 758 953 1137 1906 2274 2859 3411 5718 6822 8577 8717 17154 17434 21919 26151 43838 52302 65757 78453 131514 156906 197271 361187 394542 722374 1083561 2167122 3250683 6501366 8307301 16614602 24921903 49843806 74765709 149531418