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147185412 = 223115918899
BaseRepresentation
bin10001100010111…
…01111100000100
3101020221210102120
420301131330010
5300134413122
622334405540
73435024663
oct1061357404
9336853376
10147185412
117609a640
12413608b0
1324654a7a
1415794dda
15cdc575c
hex8c5df04

147185412 has 48 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 43843360.

The previous prime is 147185393. The next prime is 147185413. The reversal of 147185412 is 214581741.

147185412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (147185413) 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, 1662 + ... + 17237.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2147185412 is an apocalyptic number.

147185412 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 147185412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

147185412 is an abundant number, since it is smaller than the sum of its proper divisors (233838588).

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

147185412 is a wasteful number, since it uses less digits than its factorization.

147185412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18976 (or 18974 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 147185412 is about 12131.9995054401. Note that the first 3 decimals coincide. The cubic root of 147185412 is about 527.9850058873.

The spelling of 147185412 in words is "one hundred forty-seven million, one hundred eighty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 18899 37798 56697 75596 113394 207889 226788 415778 623667 831556 1115041 1247334 2230082 2494668 3345123 4460164 6690246 12265451 13380492 24530902 36796353 49061804 73592706 147185412