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83764716 = 2237347433
BaseRepresentation
bin1001111111000…
…10010111101100
312211121200120220
410333202113230
5132420432331
612151211340
72034663000
oct477422754
9184550526
1083764716
1143312742
1224076b50
131447ab29
14b1a6700
157549296
hex4fe25ec

83764716 has 96 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 23369472.

The previous prime is 83764693. The next prime is 83764721. The reversal of 83764716 is 61746738.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193236 + ... + 193668.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 283764716 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 83764716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

83764716 is an abundant number, since it is smaller than the sum of its proper divisors (149553684).

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

83764716 is a wasteful number, since it uses less digits than its factorization.

83764716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 83764716 is about 9152.3065945148. The cubic root of 83764716 is about 437.5426305126.

The spelling of 83764716 in words is "eighty-three million, seven hundred sixty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 343 433 564 588 658 686 866 987 1029 1299 1316 1372 1732 1974 2058 2303 2598 3031 3948 4116 4606 5196 6062 6909 9093 9212 12124 13818 16121 18186 20351 21217 27636 32242 36372 40702 42434 48363 61053 63651 64484 81404 84868 96726 122106 127302 142457 148519 193452 244212 254604 284914 297038 427371 445557 569828 594076 854742 891114 997199 1709484 1782228 1994398 2991597 3988796 5983194 6980393 11966388 13960786 20941179 27921572 41882358 83764716