Search a number
-
+
152464950 = 233521110267
BaseRepresentation
bin10010001011001…
…10111000110110
3101121220000121000
421011212320312
5303012334300
623043504130
73530634141
oct1105467066
9347800530
10152464950
11790761a0
1243088046
1325782b61
141636b058
15d5b9c00
hex9166e36

152464950 has 96 divisors (see below), whose sum is σ = 458363520. Its totient is φ = 36957600.

The previous prime is 152464943. The next prime is 152464967. The reversal of 152464950 is 59464251.

152464950 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 649 + 5 + 0 = 666.

152464950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9717 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (4774620).

Almost surely, 2152464950 is an apocalyptic number.

152464950 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 152464950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229181760).

152464950 is an abundant number, since it is smaller than the sum of its proper divisors (305898570).

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

152464950 is a wasteful number, since it uses less digits than its factorization.

152464950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 152464950 is about 12347.6698206585. The cubic root of 152464950 is about 534.2239308267.

The spelling of 152464950 in words is "one hundred fifty-two million, four hundred sixty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 10267 14850 20534 30801 51335 61602 92403 102670 112937 154005 184806 225874 256675 277209 308010 338811 462015 513350 554418 564685 677622 770025 924030 1016433 1129370 1386045 1540050 1694055 2032866 2310075 2772090 2823425 3049299 3388110 4620150 5082165 5646850 6098598 6930225 8470275 10164330 13860450 15246495 16940550 25410825 30492990 50821650 76232475 152464950