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147271152 = 24371632689
BaseRepresentation
bin10001100011100…
…10110111110000
3101021010011001010
420301302313300
5300200134102
622340310520
73435532650
oct1061626760
9337104033
10147271152
1176148aa6
12413a2440
1324684ac2
14157b8360
15cde0d6c
hex8c72df0

147271152 has 80 divisors (see below), whose sum is σ = 437630720. Its totient is φ = 41803776.

The previous prime is 147271129. The next prime is 147271171. The reversal of 147271152 is 251172741.

147271152 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 2×1472711522 = 43377584422814208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53424 + ... + 56112.

It is an arithmetic number, because the mean of its divisors is an integer number (5470384).

Almost surely, 2147271152 is an apocalyptic number.

147271152 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 147271152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218815360).

147271152 is an abundant number, since it is smaller than the sum of its proper divisors (290359568).

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

147271152 is a wasteful number, since it uses less digits than its factorization.

147271152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2864 counting only the distinct ones).

The product of its digits is 3920, while the sum is 30.

The square root of 147271152 is about 12135.5326211914. The cubic root of 147271152 is about 528.0875084528.

The spelling of 147271152 in words is "one hundred forty-seven million, two hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 2689 3423 3912 4564 5378 6846 7824 8067 9128 10756 13692 16134 18256 18823 21512 27384 32268 37646 43024 54768 56469 64536 75292 112938 129072 150584 225876 301168 438307 451752 876614 903504 1314921 1753228 2629842 3068149 3506456 5259684 6136298 7012912 9204447 10519368 12272596 18408894 21038736 24545192 36817788 49090384 73635576 147271152