Search a number
-
+
152242350 = 235213101773
BaseRepresentation
bin10010001001100…
…00100010101110
3101121110201020120
421010300202232
5302433223400
623035025410
73526016151
oct1104604256
9347421216
10152242350
1178a33a27
1242b9b266
1325705740
141630dc98
15d573ca0
hex91308ae

152242350 has 96 divisors (see below), whose sum is σ = 411161184. Its totient is φ = 37056000.

The previous prime is 152242339. The next prime is 152242381. The reversal of 152242350 is 53242251.

It is a self number, because there is not a number n which added to its sum of digits gives 152242350.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 196564 + ... + 197336.

It is an arithmetic number, because the mean of its divisors is an integer number (4282929).

Almost surely, 2152242350 is an apocalyptic number.

152242350 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 152242350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205580592).

152242350 is an abundant number, since it is smaller than the sum of its proper divisors (258918834).

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

152242350 is a wasteful number, since it uses less digits than its factorization.

152242350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 152242350 is about 12338.6526817153. The cubic root of 152242350 is about 533.9638138450.

Subtracting from 152242350 its reverse (53242251), we obtain a palindrome (99000099).

The spelling of 152242350 in words is "one hundred fifty-two million, two hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 101 130 150 195 202 303 325 390 505 606 650 773 975 1010 1313 1515 1546 1950 2319 2525 2626 3030 3865 3939 4638 5050 6565 7575 7730 7878 10049 11595 13130 15150 19325 19695 20098 23190 30147 32825 38650 39390 50245 57975 60294 65650 78073 98475 100490 115950 150735 156146 196950 234219 251225 301470 390365 468438 502450 753675 780730 1014949 1171095 1507350 1951825 2029898 2342190 3044847 3903650 5074745 5855475 6089694 10149490 11710950 15224235 25373725 30448470 50747450 76121175 152242350