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82383392 = 25713191489
BaseRepresentation
bin1001110100100…
…01001000100000
312202000111202202
410322101020200
5132042232032
612101432332
72020150550
oct472211040
9182014682
1082383392
1142559953
122370b6a8
13140b6190
14ad27160
157374d62
hex4e91220

82383392 has 96 divisors (see below), whose sum is σ = 210268800. Its totient is φ = 30855168.

The previous prime is 82383383. The next prime is 82383409. The reversal of 82383392 is 29338328.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54584 + ... + 56072.

It is an arithmetic number, because the mean of its divisors is an integer number (2190300).

Almost surely, 282383392 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 82383392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105134400).

82383392 is an abundant number, since it is smaller than the sum of its proper divisors (127885408).

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

82383392 is a wasteful number, since it uses less digits than its factorization.

82383392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 82383392 is about 9076.5297333287. The cubic root of 82383392 is about 435.1241852687.

The spelling of 82383392 in words is "eighty-two million, three hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 988 1064 1456 1489 1729 1976 2128 2912 2978 3458 3952 4256 5956 6916 7904 10423 11912 13832 19357 20846 23824 27664 28291 38714 41692 47648 55328 56582 77428 83384 113164 135499 154856 166768 198037 226328 270998 309712 333536 367783 396074 452656 541996 619424 735566 792148 905312 1083992 1471132 1584296 2167984 2574481 2942264 3168592 4335968 5148962 5884528 6337184 10297924 11769056 20595848 41191696 82383392