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83828376 = 233223223227
BaseRepresentation
bin1001111111100…
…01111010011000
312211201220220200
410333301322120
5132430002001
612152422200
72035346412
oct477617230
9184656820
1083828376
1143356555
12240a7960
13144a0ab8
14b1c19b2
15755d086
hex4ff1e98

83828376 has 96 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 26490816.

The previous prime is 83828369. The next prime is 83828383. The reversal of 83828376 is 67382838.

It is an interprime number because it is at equal distance from previous prime (83828369) and next prime (83828383).

It is a congruent number.

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, 369175 + ... + 369401.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 283828376 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 83828376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

83828376 is an abundant number, since it is smaller than the sum of its proper divisors (155188584).

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

83828376 is a wasteful number, since it uses less digits than its factorization.

83828376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83828376 is about 9155.7837458079. The cubic root of 83828376 is about 437.6534445162.

The spelling of 83828376 in words is "eighty-three million, eight hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 223 227 276 414 446 454 552 669 681 828 892 908 1338 1362 1656 1784 1816 2007 2043 2676 2724 4014 4086 5129 5221 5352 5448 8028 8172 10258 10442 15387 15663 16056 16344 20516 20884 30774 31326 41032 41768 46161 46989 50621 61548 62652 92322 93978 101242 123096 125304 151863 184644 187956 202484 303726 369288 375912 404968 455589 607452 911178 1164283 1214904 1822356 2328566 3492849 3644712 4657132 6985698 9314264 10478547 13971396 20957094 27942792 41914188 83828376