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149503284 = 223273831549
BaseRepresentation
bin10001110100100…
…11110100110100
3101102022112221200
420322103310310
5301233101114
622500212500
73463520430
oct1072236464
9342275850
10149503284
1177433037
124209a130
1324c86aa8
1415bd99c0
15d1d2409
hex8e93d34

149503284 has 72 divisors (see below), whose sum is σ = 433305600. Its totient is φ = 42576192.

The previous prime is 149503259. The next prime is 149503307. The reversal of 149503284 is 482305941.

149503284 is a `hidden beast` number, since 149 + 503 + 2 + 8 + 4 = 666.

149503284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95742 + ... + 97290.

Almost surely, 2149503284 is an apocalyptic number.

149503284 is a gapful number since it is divisible by the number (14) 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 149503284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

149503284 is an abundant number, since it is smaller than the sum of its proper divisors (283802316).

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

149503284 is a wasteful number, since it uses less digits than its factorization.

149503284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149503284 is about 12227.1535526467. The cubic root of 149503284 is about 530.7421476753.

The spelling of 149503284 in words is "one hundred forty-nine million, five hundred three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 383 766 1149 1532 1549 2298 2681 3098 3447 4596 4647 5362 6196 6894 8043 9294 10724 10843 13788 13941 16086 18588 21686 24129 27882 32172 32529 43372 48258 55764 65058 96516 97587 130116 195174 390348 593267 1186534 1779801 2373068 3559602 4152869 5339403 7119204 8305738 10678806 12458607 16611476 21357612 24917214 37375821 49834428 74751642 149503284