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152612250 = 2353741709
BaseRepresentation
bin10010001100010…
…10110110011010
3101122011111122120
421012022312122
5303032043000
623051002110
73532116450
oct1106126632
9348144576
10152612250
117916692a
1243139336
1325804c0b
14163a89d0
15d5e86a0
hex918ad9a

152612250 has 128 divisors (see below), whose sum is σ = 446584320. Its totient is φ = 33984000.

The previous prime is 152612231. The next prime is 152612261. The reversal of 152612250 is 52216251.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 152612250.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 214896 + ... + 215604.

It is an arithmetic number, because the mean of its divisors is an integer number (3488940).

Almost surely, 2152612250 is an apocalyptic number.

152612250 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 152612250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223292160).

152612250 is an abundant number, since it is smaller than the sum of its proper divisors (293972070).

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

152612250 is a wasteful number, since it uses less digits than its factorization.

152612250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 152612250 is about 12353.6330688587. The cubic root of 152612250 is about 534.3959175834.

The spelling of 152612250 in words is "one hundred fifty-two million, six hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 41 42 50 70 75 82 105 123 125 150 175 205 210 246 250 287 350 375 410 525 574 615 709 750 861 875 1025 1050 1230 1418 1435 1722 1750 2050 2127 2625 2870 3075 3545 4254 4305 4963 5125 5250 6150 7090 7175 8610 9926 10250 10635 14350 14889 15375 17725 21270 21525 24815 29069 29778 30750 35450 35875 43050 49630 53175 58138 71750 74445 87207 88625 106350 107625 124075 145345 148890 174414 177250 203483 215250 248150 265875 290690 372225 406966 436035 531750 610449 620375 726725 744450 872070 1017415 1220898 1240750 1453450 1861125 2034830 2180175 3052245 3633625 3722250 4360350 5087075 6104490 7267250 10174150 10900875 15261225 21801750 25435375 30522450 50870750 76306125 152612250