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152864250 = 23537112647
BaseRepresentation
bin10010001110010…
…00010111111010
3101122122022022220
421013020113322
5303113124000
623100224510
73534216240
oct1107102772
9348568286
10152864250
11793191a0
124323b136
1325892826
1416432790
15d6481a0
hex91c85fa

152864250 has 128 divisors (see below), whose sum is σ = 475877376. Its totient is φ = 31752000.

The previous prime is 152864237. The next prime is 152864251. The reversal of 152864250 is 52468251.

152864250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152864251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56427 + ... + 59073.

It is an arithmetic number, because the mean of its divisors is an integer number (3717792).

Almost surely, 2152864250 is an apocalyptic number.

152864250 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 152864250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237938688).

152864250 is an abundant number, since it is smaller than the sum of its proper divisors (323013126).

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

152864250 is a wasteful number, since it uses less digits than its factorization.

152864250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 152864250 is about 12363.8282906226. The cubic root of 152864250 is about 534.6898951116.

The spelling of 152864250 in words is "one hundred fifty-two million, eight hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 125 150 154 165 175 210 231 250 275 330 350 375 385 462 525 550 750 770 825 875 1050 1155 1375 1650 1750 1925 2310 2625 2647 2750 3850 4125 5250 5294 5775 7941 8250 9625 11550 13235 15882 18529 19250 26470 28875 29117 37058 39705 55587 57750 58234 66175 79410 87351 92645 111174 132350 145585 174702 185290 198525 203819 277935 291170 330875 397050 407638 436755 463225 555870 611457 661750 727925 873510 926450 992625 1019095 1222914 1389675 1455850 1985250 2038190 2183775 2316125 2779350 3057285 3639625 4367550 4632250 5095475 6114570 6948375 7279250 10190950 10918875 13896750 15286425 21837750 25477375 30572850 50954750 76432125 152864250