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147527072 = 2571125443
BaseRepresentation
bin10001100101100…
…01010110100000
3101021121011002122
420302301112200
5300231331242
622350003412
73440650040
oct1062612640
9337534078
10147527072
1176303300
12414a6568
1324744434
1415843720
15ce41ad2
hex8cb15a0

147527072 has 72 divisors (see below), whose sum is σ = 364922208. Its totient is φ = 57467520.

The previous prime is 147527069. The next prime is 147527113. The reversal of 147527072 is 270725741.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24383 + ... + 29825.

It is an arithmetic number, because the mean of its divisors is an integer number (5068364).

Almost surely, 2147527072 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 147527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182461104).

147527072 is an abundant number, since it is smaller than the sum of its proper divisors (217395136).

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

147527072 is a wasteful number, since it uses less digits than its factorization.

147527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The square root of 147527072 is about 12146.0722869576. The cubic root of 147527072 is about 528.3932255929.

The spelling of 147527072 in words is "one hundred forty-seven million, five hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 5443 6776 10886 13552 21772 27104 38101 43544 59873 76202 87088 119746 152404 174176 239492 304808 419111 478984 609616 658603 838222 957968 1219232 1317206 1676444 1915936 2634412 3352888 4610221 5268824 6705776 9220442 10537648 13411552 18440884 21075296 36881768 73763536 147527072