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147964932 = 2232191371579
BaseRepresentation
bin10001101000111…
…00010000000100
3101022102101201200
420310130100010
5300334334212
622403222500
73444452433
oct1064342004
9338371650
10147964932
1176582275
1241677a30
132486881b
141591911a
15cecb6dc
hex8d1c404

147964932 has 72 divisors (see below), whose sum is σ = 396832800. Its totient is φ = 46355328.

The previous prime is 147964909. The next prime is 147964933. The reversal of 147964932 is 239469741.

It is a happy number.

It is a super-2 number, since 2×1479649322 = 43787242203529248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147964933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92919 + ... + 94497.

Almost surely, 2147964932 is an apocalyptic number.

147964932 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 147964932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198416400).

147964932 is an abundant number, since it is smaller than the sum of its proper divisors (248867868).

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

147964932 is a wasteful number, since it uses less digits than its factorization.

147964932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1740 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 147964932 is about 12164.0836892879. The cubic root of 147964932 is about 528.9154658775.

The spelling of 147964932 in words is "one hundred forty-seven million, nine hundred sixty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 137 171 228 274 342 411 548 684 822 1233 1579 1644 2466 2603 3158 4737 4932 5206 6316 7809 9474 10412 14211 15618 18948 23427 28422 30001 31236 46854 56844 60002 90003 93708 120004 180006 216323 270009 360012 432646 540018 648969 865292 1080036 1297938 1946907 2595876 3893814 4110137 7787628 8220274 12330411 16440548 24660822 36991233 49321644 73982466 147964932