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83332404 = 223219235297
BaseRepresentation
bin1001111011110…
…00110100110100
312210210201120100
410331320310310
5132313114104
612134034100
72031212421
oct475706464
9183721510
1083332404
1143047961
1223aa8930
131435911c
14b0d2d48
1574b1139
hex4f78d34

83332404 has 72 divisors (see below), whose sum is σ = 231416640. Its totient is φ = 25166592.

The previous prime is 83332393. The next prime is 83332411. The reversal of 83332404 is 40423338.

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, 13084 + ... + 18380.

It is an arithmetic number, because the mean of its divisors is an integer number (3214120).

Almost surely, 283332404 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 83332404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115708320).

83332404 is an abundant number, since it is smaller than the sum of its proper divisors (148084236).

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

83332404 is a wasteful number, since it uses less digits than its factorization.

83332404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 83332404 is about 9128.6583899278. The cubic root of 83332404 is about 436.7886086672.

The spelling of 83332404 in words is "eighty-three million, three hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 5297 7866 10594 15732 15891 21188 31782 47673 63564 95346 100643 121831 190692 201286 243662 301929 365493 402572 487324 603858 730986 905787 1096479 1207716 1461972 1811574 2192958 2314789 3623148 4385916 4629578 6944367 9259156 13888734 20833101 27777468 41666202 83332404