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83369856 = 2731991091
BaseRepresentation
bin1001111100000…
…01111110000000
312210212121221110
410332001332000
5132320313411
612134523320
72031426543
oct476017600
9183777843
1083369856
1143073009
1223b06540
131437019b
14b10285a
1574bc2a6
hex4f81f80

83369856 has 64 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 27624960.

The previous prime is 83369831. The next prime is 83369879. The reversal of 83369856 is 65896338.

It is a tau number, because it is divible by the number of its divisors (64).

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, 75871 + ... + 76961.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 283369856 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 83369856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

83369856 is an abundant number, since it is smaller than the sum of its proper divisors (139398144).

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

83369856 is a wasteful number, since it uses less digits than its factorization.

83369856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 83369856 is about 9130.7095014572. The cubic root of 83369856 is about 436.8540340245.

The spelling of 83369856 in words is "eighty-three million, three hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1091 1194 1592 2182 2388 3184 3273 4364 4776 6368 6546 8728 9552 12736 13092 17456 19104 25472 26184 34912 38208 52368 69824 76416 104736 139648 209472 217109 418944 434218 651327 868436 1302654 1736872 2605308 3473744 5210616 6947488 10421232 13894976 20842464 27789952 41684928 83369856