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149095188 = 223311413061
BaseRepresentation
bin10001110001100…
…00001100010100
3101101112211011000
420320300030110
5301132021223
622443343300
73460200564
oct1070601424
9341484130
10149095188
1177184470
1241b21b30
1324b73108
1415b30da4
15d151543
hex8e30314

149095188 has 96 divisors (see below), whose sum is σ = 432109440. Its totient is φ = 44064000.

The previous prime is 149095181. The next prime is 149095217. The reversal of 149095188 is 881590941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149095181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47178 + ... + 50238.

It is an arithmetic number, because the mean of its divisors is an integer number (4501140).

Almost surely, 2149095188 is an apocalyptic number.

149095188 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 149095188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216054720).

149095188 is an abundant number, since it is smaller than the sum of its proper divisors (283014252).

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

149095188 is a wasteful number, since it uses less digits than its factorization.

149095188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 149095188 is about 12210.4540456119. The cubic root of 149095188 is about 530.2587890086.

The spelling of 149095188 in words is "one hundred forty-nine million, ninety-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 3061 4059 4428 5412 6122 8118 9183 12177 12244 16236 18366 24354 27549 33671 36732 48708 55098 67342 82647 101013 110196 125501 134684 165294 202026 251002 303039 330588 376503 404052 502004 606078 753006 909117 1129509 1212156 1380511 1506012 1818234 2259018 2761022 3388527 3636468 4141533 4518036 5522044 6777054 8283066 12424599 13554108 16566132 24849198 37273797 49698396 74547594 149095188