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149458500 = 22335311071
BaseRepresentation
bin10001110100010…
…00111001000100
3101102020021112000
420322020321010
5301230133000
622455225300
73463243032
oct1072107104
9342207460
10149458500
1177402424
1242078230
1324c6c5a9
1415bc7552
15d1c4000
hex8e88e44

149458500 has 96 divisors (see below), whose sum is σ = 483624960. Its totient is φ = 39852000.

The previous prime is 149458493. The next prime is 149458513. The reversal of 149458500 is 5854941.

149458500 is a `hidden beast` number, since 14 + 94 + 58 + 500 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7965 + ... + 19035.

It is an arithmetic number, because the mean of its divisors is an integer number (5037760).

Almost surely, 2149458500 is an apocalyptic number.

149458500 is a gapful number since it is divisible by the number (10) 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 149458500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241812480).

149458500 is an abundant number, since it is smaller than the sum of its proper divisors (334166460).

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

149458500 is a wasteful number, since it uses less digits than its factorization.

149458500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 149458500 is about 12225.3220816468. The cubic root of 149458500 is about 530.6891474347.

The spelling of 149458500 in words is "one hundred forty-nine million, four hundred fifty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 675 750 900 1125 1350 1500 2250 2700 3375 4500 6750 11071 13500 22142 33213 44284 55355 66426 99639 110710 132852 166065 199278 221420 276775 298917 332130 398556 498195 553550 597834 664260 830325 996390 1107100 1195668 1383875 1494585 1660650 1992780 2490975 2767750 2989170 3321300 4151625 4981950 5535500 5978340 7472925 8303250 9963900 12454875 14945850 16606500 24909750 29891700 37364625 49819500 74729250 149458500