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149543316 = 223213536029
BaseRepresentation
bin10001110100111…
…01100110010100
3101102101120212100
420322131212110
5301240341231
622501122100
73464045226
oct1072354624
9342346770
10149543316
117746011a
12420b9330
1324c9c090
1415c0a416
15d1de1e6
hex8e9d994

149543316 has 72 divisors (see below), whose sum is σ = 414839880. Its totient is φ = 45137664.

The previous prime is 149543311. The next prime is 149543351. The reversal of 149543316 is 613345941.

149543316 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 4 ways, for example, as 44275716 + 105267600 = 6654^2 + 10260^2 .

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 (149543311) 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, 21790 + ... + 27818.

It is an arithmetic number, because the mean of its divisors is an integer number (5761665).

Almost surely, 2149543316 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 149543316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207419940).

149543316 is an abundant number, since it is smaller than the sum of its proper divisors (265296564).

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

149543316 is a wasteful number, since it uses less digits than its factorization.

149543316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6100 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 149543316 is about 12228.7904553149. The cubic root of 149543316 is about 530.7895151377.

The spelling of 149543316 in words is "one hundred forty-nine million, five hundred forty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6029 6201 8268 12058 12402 18087 24116 24804 36174 54261 72348 78377 108522 156754 217044 235131 313508 319537 470262 639074 705393 940524 958611 1278148 1410786 1917222 2821572 2875833 3834444 4153981 5751666 8307962 11503332 12461943 16615924 24923886 37385829 49847772 74771658 149543316