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147048 = 23311557
BaseRepresentation
bin100011111001101000
321110201020
4203321220
514201143
63052440
71151466
oct437150
9243636
10147048
11a0530
1271120
1351c15
143b836
152d883
hex23e68

147048 has 32 divisors (see below), whose sum is σ = 401760. Its totient is φ = 44480.

The previous prime is 147047. The next prime is 147073. The reversal of 147048 is 840741.

Adding to 147048 its reverse (840741), we get a palindrome (987789).

147048 is nontrivially palindromic in base 13.

147048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1470482 = 43246228608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (147047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2147048 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 147048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

147048 is an abundant number, since it is smaller than the sum of its proper divisors (254712).

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

147048 is a wasteful number, since it uses less digits than its factorization.

147048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 147048 is about 383.4683820082. The cubic root of 147048 is about 52.7820646154.

The spelling of 147048 in words is "one hundred forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 557 1114 1671 2228 3342 4456 6127 6684 12254 13368 18381 24508 36762 49016 73524 147048