Search a number
-
+
147333472 = 25112132927
BaseRepresentation
bin10001100100000…
…10000101100000
3101021020022112021
420302002011200
5300204132342
622341511224
73436212436
oct1062020540
9337208467
10147333472
1176190900
1241412514
13246a7290
14157d2d56
15ce04567
hex8c82160

147333472 has 72 divisors (see below), whose sum is σ = 343471968. Its totient is φ = 61797120.

The previous prime is 147333463. The next prime is 147333503. The reversal of 147333472 is 274333741.

147333472 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 48873 + ... + 51799.

It is an arithmetic number, because the mean of its divisors is an integer number (4770444).

Almost surely, 2147333472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171735984).

147333472 is an abundant number, since it is smaller than the sum of its proper divisors (196138496).

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

147333472 is a wasteful number, since it uses less digits than its factorization.

147333472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2953 counting only the distinct ones).

The product of its digits is 42336, while the sum is 34.

The square root of 147333472 is about 12138.1000160651. The cubic root of 147333472 is about 528.1619873352.

The spelling of 147333472 in words is "one hundred forty-seven million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 2927 3146 3872 4576 5854 6292 11708 12584 23416 25168 32197 38051 46832 50336 64394 76102 93664 128788 152204 257576 304408 354167 418561 515152 608816 708334 837122 1030304 1217632 1416668 1674244 2833336 3348488 4604171 5666672 6696976 9208342 11333344 13393952 18416684 36833368 73666736 147333472