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83966988 = 22372612341
BaseRepresentation
bin1010000000100…
…11110000001100
312211222222001110
411000103300030
5132443420423
612155412020
72036464500
oct500236014
9184888043
1083966988
1143440706
1224154010
131451bc11
14b21a300
157589193
hex5013c0c

83966988 has 72 divisors (see below), whose sum is σ = 231745584. Its totient is φ = 23587200.

The previous prime is 83966969. The next prime is 83967007. The reversal of 83966988 is 88966938.

It is an interprime number because it is at equal distance from previous prime (83966969) and next prime (83967007).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34698 + ... + 37038.

Almost surely, 283966988 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 83966988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115872792).

83966988 is an abundant number, since it is smaller than the sum of its proper divisors (147778596).

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

83966988 is a wasteful number, since it uses less digits than its factorization.

83966988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2414 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 83966988 is about 9163.3502606852. The cubic root of 83966988 is about 437.8945347707.

The spelling of 83966988 in words is "eighty-three million, nine hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2341 2562 2989 4682 5124 5978 7023 8967 9364 11956 14046 16387 17934 28092 32774 35868 49161 65548 98322 114709 142801 196644 229418 285602 344127 428403 458836 571204 688254 856806 999607 1376508 1713612 1999214 2998821 3998428 5997642 6997249 11995284 13994498 20991747 27988996 41983494 83966988