Search a number
-
+
149433375 = 35371329151
BaseRepresentation
bin10001110100000…
…10110000011111
3101102012000001110
420322002300133
5301223332000
622454513103
73463106550
oct1072026037
9342160043
10149433375
1177395563
1242065793
1324c61020
1415bbc327
15d1bb850
hex8e82c1f

149433375 has 128 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 60480000.

The previous prime is 149433373. The next prime is 149433379. The reversal of 149433375 is 573334941.

It is not a de Polignac number, because 149433375 - 21 = 149433373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149433373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 989550 + ... + 989700.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2149433375 is an apocalyptic number.

149433375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149433375 is an abundant number, since it is smaller than the sum of its proper divisors (169255905).

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

149433375 is a wasteful number, since it uses less digits than its factorization.

149433375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 149433375 is about 12224.2944581681. The cubic root of 149433375 is about 530.6594082718.

The spelling of 149433375 in words is "one hundred forty-nine million, four hundred thirty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 29 35 39 65 75 87 91 105 125 145 151 175 195 203 273 325 375 377 435 453 455 525 609 725 755 875 975 1015 1057 1131 1365 1625 1885 1963 2175 2265 2275 2625 2639 3045 3171 3625 3775 4379 4875 5075 5285 5655 5889 6825 7917 9425 9815 10875 11325 11375 13137 13195 13741 15225 15855 18875 21895 25375 26425 28275 29445 30653 34125 39585 41223 47125 49075 56625 56927 65685 65975 68705 76125 79275 91959 109475 132125 141375 147225 153265 170781 197925 206115 245375 284635 328425 329875 343525 396375 398489 459795 547375 736125 766325 853905 989625 1030575 1195467 1423175 1642125 1717625 1992445 2298975 3831625 4269525 5152875 5977335 7115875 9962225 11494875 21347625 29886675 49811125 149433375