Search a number
-
+
147965856 = 2532396449
BaseRepresentation
bin10001101000111…
…00011110100000
3101022102102222220
420310130132200
5300334401411
622403231040
73444455223
oct1064343640
9338372886
10147965856
1176582a35
1241678480
132486907c
14159195ba
15cecbb06
hex8d1c7a0

147965856 has 48 divisors (see below), whose sum is σ = 390096000. Its totient is φ = 49107968.

The previous prime is 147965833. The next prime is 147965893. The reversal of 147965856 is 658569741.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 147965799 and 147965808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19720 + ... + 26168.

It is an arithmetic number, because the mean of its divisors is an integer number (8127000).

Almost surely, 2147965856 is an apocalyptic number.

147965856 is a gapful number since it is divisible by the number (16) 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 147965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195048000).

147965856 is an abundant number, since it is smaller than the sum of its proper divisors (242130144).

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

147965856 is a wasteful number, since it uses less digits than its factorization.

147965856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6701 (or 6693 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 147965856 is about 12164.1216698946. The cubic root of 147965856 is about 528.9165668520.

The spelling of 147965856 in words is "one hundred forty-seven million, nine hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 6449 7648 11472 12898 19347 22944 25796 38694 51592 77388 103184 154776 206368 309552 619104 1541311 3082622 4623933 6165244 9247866 12330488 18495732 24660976 36991464 49321952 73982928 147965856