Search a number
-
+
152194512 = 2435961881
BaseRepresentation
bin10010001001001…
…00110111010000
3101121101021121210
421010210313100
5302430211022
623034020120
73525426531
oct1104446720
9347337553
10152194512
1178a00a98
1242b77640
13256b9a32
14162da688
15d564a0c
hex9124dd0

152194512 has 80 divisors (see below), whose sum is σ = 406848960. Its totient is φ = 48998400.

The previous prime is 152194499. The next prime is 152194543. The reversal of 152194512 is 215491251.

It is a self number, because there is not a number n which added to its sum of digits gives 152194512.

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 15 ways as a sum of consecutive naturals, for example, 172312 + ... + 173192.

It is an arithmetic number, because the mean of its divisors is an integer number (5085612).

Almost surely, 2152194512 is an apocalyptic number.

152194512 is a gapful number since it is divisible by the number (12) 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 152194512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

152194512 is an abundant number, since it is smaller than the sum of its proper divisors (254654448).

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

152194512 is a wasteful number, since it uses less digits than its factorization.

152194512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 152194512 is about 12336.7139871199. The cubic root of 152194512 is about 533.9078801382.

The spelling of 152194512 in words is "one hundred fifty-two million, one hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 61 118 122 177 183 236 244 354 366 472 488 708 732 881 944 976 1416 1464 1762 2643 2832 2928 3524 3599 5286 7048 7198 10572 10797 14096 14396 21144 21594 28792 42288 43188 51979 53741 57584 86376 103958 107482 155937 161223 172752 207916 214964 311874 322446 415832 429928 623748 644892 831664 859856 1247496 1289784 2494992 2579568 3170719 6341438 9512157 12682876 19024314 25365752 38048628 50731504 76097256 152194512