Search a number
-
+
147824952 = 233111274409
BaseRepresentation
bin10001100111110…
…10000100111000
3101022011021201020
420303322010320
5300320344302
622400222440
73443330352
oct1063720470
9338137636
10147824952
1176497090
124160aa20
1324819bb2
14158c00d2
15ce9eebc
hex8cfa138

147824952 has 64 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 44432640.

The previous prime is 147824951. The next prime is 147824969. The reversal of 147824952 is 259428741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147824951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31324 + ... + 35732.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2147824952 is an apocalyptic number.

147824952 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 147824952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

147824952 is an abundant number, since it is smaller than the sum of its proper divisors (258600648).

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

147824952 is a wasteful number, since it uses less digits than its factorization.

147824952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4552 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 147824952 is about 12158.3285035403. The cubic root of 147824952 is about 528.7486224109.

The spelling of 147824952 in words is "one hundred forty-seven million, eight hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 4191 4409 5588 8382 8818 11176 13227 16764 17636 26454 33528 35272 48499 52908 96998 105816 145497 193996 290994 387992 559943 581988 1119886 1163976 1679829 2239772 3359658 4479544 6159373 6719316 12318746 13438632 18478119 24637492 36956238 49274984 73912476 147824952