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149282016 = 25313119617
BaseRepresentation
bin10001110010111…
…01110011100000
3101101220022102120
420321131303200
5301204011031
622451344240
73461606352
oct1071356340
9341808376
10149282016
11772a1874
1241bb2080
1324c0a170
1415b7d0d2
15d18ba96
hex8e5dce0

149282016 has 48 divisors (see below), whose sum is σ = 422012304. Its totient is φ = 45932544.

The previous prime is 149282009. The next prime is 149282033. The reversal of 149282016 is 610282941.

149282016 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 a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58561 + ... + 61056.

It is an arithmetic number, because the mean of its divisors is an integer number (8791923).

Almost surely, 2149282016 is an apocalyptic number.

149282016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149282016 is an abundant number, since it is smaller than the sum of its proper divisors (272730288).

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

149282016 is a wasteful number, since it uses less digits than its factorization.

149282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119643 (or 119635 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 149282016 is about 12218.1019802586. The cubic root of 149282016 is about 530.4801818863.

The spelling of 149282016 in words is "one hundred forty-nine million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 119617 239234 358851 478468 717702 956936 1435404 1555021 1913872 2870808 3110042 3827744 4665063 5741616 6220084 9330126 11483232 12440168 18660252 24880336 37320504 49760672 74641008 149282016