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83673696 = 2531276863
BaseRepresentation
bin1001111110011…
…00001001100000
312211110001201210
410333030021200
5132410024241
612145230120
72034133431
oct477141140
9184401653
1083673696
1143260317
1224032340
1314448582
14b181488
15752c316
hex4fcc260

83673696 has 48 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 27667584.

The previous prime is 83673673. The next prime is 83673703. The reversal of 83673696 is 69637638.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 8761 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 283673696 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 83673696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

83673696 is an abundant number, since it is smaller than the sum of its proper divisors (137731488).

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

83673696 is a wasteful number, since it uses less digits than its factorization.

83673696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6995 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 83673696 is about 9147.3327259918. The cubic root of 83673696 is about 437.3840929417.

The spelling of 83673696 in words is "eighty-three million, six hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 6863 12192 13726 20589 27452 41178 54904 82356 109808 164712 219616 329424 658848 871601 1743202 2614803 3486404 5229606 6972808 10459212 13945616 20918424 27891232 41836848 83673696