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147385664 = 261011512
BaseRepresentation
bin10001100100011…
…10110101000000
3101021022222010022
420302032311000
5300212320124
622342553012
73436520546
oct1062166500
9337288108
10147385664
1176217038
1241438768
13246c4c6a
1415807d96
15ce14c5e
hex8c8ed40

147385664 has 42 divisors (see below), whose sum is σ = 297333162. Its totient is φ = 72480000.

The previous prime is 147385661. The next prime is 147385681. The reversal of 147385664 is 466583741.

It can be written as a sum of positive squares in only one way, i.e., 145926400 + 1459264 = 12080^2 + 1208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147385661) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 975989 + ... + 976139.

It is an arithmetic number, because the mean of its divisors is an integer number (7079361).

Almost surely, 2147385664 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 147385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148666581).

147385664 is an abundant number, since it is smaller than the sum of its proper divisors (149947498).

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

147385664 is an equidigital number, since it uses as much as digits as its factorization.

147385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 254 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 147385664 is about 12140.2497503140. The cubic root of 147385664 is about 528.2243460459.

It can be divided in two parts, 14738 and 5664, that added together give a palindrome (20402).

The spelling of 147385664 in words is "one hundred forty-seven million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 151 202 302 404 604 808 1208 1616 2416 3232 4832 6464 9664 15251 22801 30502 45602 61004 91204 122008 182408 244016 364816 488032 729632 976064 1459264 2302901 4605802 9211604 18423208 36846416 73692832 147385664