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239773696 = 21147253
BaseRepresentation
bin11100100101010…
…10100000000000
3121201011202200021
432102222200000
5442340224241
635443103224
75641020451
oct1622524000
9551152607
10239773696
11113389588
1268371b14
133a8a1b36
1423bb7128
15160b40d1
hexe4aa800

239773696 has 72 divisors (see below), whose sum is σ = 499090410. Its totient is φ = 115122176.

The previous prime is 239773691. The next prime is 239773717. The reversal of 239773696 is 696377932.

239773696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 183223296 + 56550400 = 13536^2 + 7520^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (239773691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4524006 + ... + 4524058.

Almost surely, 2239773696 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 239773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249545205).

239773696 is an abundant number, since it is smaller than the sum of its proper divisors (259316714).

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

239773696 is an frugal number, since it uses more digits than its factorization.

239773696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 102 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 52.

The square root of 239773696 is about 15484.6277320444. The cubic root of 239773696 is about 621.2511122247.

The spelling of 239773696 in words is "two hundred thirty-nine million, seven hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 128 188 212 256 376 424 512 752 848 1024 1504 1696 2048 2209 2491 3008 3392 4418 4982 6016 6784 8836 9964 12032 13568 17672 19928 24064 27136 35344 39856 48128 54272 70688 79712 96256 108544 117077 141376 159424 234154 282752 318848 468308 565504 637696 936616 1131008 1275392 1873232 2262016 2550784 3746464 4524032 5101568 7492928 14985856 29971712 59943424 119886848 239773696