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152936850 = 235211591571
BaseRepresentation
bin10010001110110…
…10000110010010
3101122202222220210
421013122012102
5303122434400
623101544550
73534641013
oct1107320622
9348688823
10152936850
11793687a0
1243275156
13258b98a1
141645100a
15d65e950
hex91da192

152936850 has 96 divisors (see below), whose sum is σ = 421044480. Its totient is φ = 36424000.

The previous prime is 152936843. The next prime is 152936863. The reversal of 152936850 is 58639251.

It is a junction number, because it is equal to n+sod(n) for n = 152936799 and 152936808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96565 + ... + 98135.

It is an arithmetic number, because the mean of its divisors is an integer number (4385880).

Almost surely, 2152936850 is an apocalyptic number.

152936850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152936850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210522240).

152936850 is an abundant number, since it is smaller than the sum of its proper divisors (268107630).

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

152936850 is a wasteful number, since it uses less digits than its factorization.

152936850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 152936850 is about 12366.7639259428. The cubic root of 152936850 is about 534.7745286838.

The spelling of 152936850 in words is "one hundred fifty-two million, nine hundred thirty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 59 66 75 110 118 150 165 177 275 295 330 354 550 590 649 825 885 1298 1475 1571 1650 1770 1947 2950 3142 3245 3894 4425 4713 6490 7855 8850 9426 9735 15710 16225 17281 19470 23565 32450 34562 39275 47130 48675 51843 78550 86405 92689 97350 103686 117825 172810 185378 235650 259215 278067 432025 463445 518430 556134 864050 926890 1019579 1296075 1390335 2039158 2317225 2592150 2780670 3058737 4634450 5097895 6117474 6951675 10195790 13903350 15293685 25489475 30587370 50978950 76468425 152936850