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83852704 = 25131771167
BaseRepresentation
bin1001111111101…
…11110110100000
312211210011021201
410333313312200
5132431241304
612153130544
72035510345
oct477676640
9184704251
1083852704
1143372861
12240b9a54
13144abbb0
14b1ca7cc
1575653a4
hex4ff7da0

83852704 has 96 divisors (see below), whose sum is σ = 192036096. Its totient is φ = 35696640.

The previous prime is 83852689. The next prime is 83852773. The reversal of 83852704 is 40725838.

It is a super-2 number, since 2×838527042 = 14062551936223232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502029 + ... + 502195.

It is an arithmetic number, because the mean of its divisors is an integer number (2000376).

Almost surely, 283852704 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 83852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018048).

83852704 is an abundant number, since it is smaller than the sum of its proper divisors (108183392).

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

83852704 is a wasteful number, since it uses less digits than its factorization.

83852704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 83852704 is about 9157.1122085513. The cubic root of 83852704 is about 437.6957778473.

The spelling of 83852704 in words is "eighty-three million, eight hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 71 104 136 142 167 208 221 272 284 334 416 442 544 568 668 884 923 1136 1207 1336 1768 1846 2171 2272 2414 2672 2839 3536 3692 4342 4828 5344 5678 7072 7384 8684 9656 11356 11857 14768 15691 17368 19312 22712 23714 29536 31382 34736 36907 38624 45424 47428 62764 69472 73814 90848 94856 125528 147628 154141 189712 201569 251056 295256 308282 379424 403138 502112 590512 616564 806276 1181024 1233128 1612552 2466256 2620397 3225104 4932512 5240794 6450208 10481588 20963176 41926352 83852704