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83472460 = 22531243101
BaseRepresentation
bin1001111100110…
…11000001001100
312211001211200121
410332123001030
5132332104320
612141034324
72032334641
oct476330114
9184054617
1083472460
1143133105
1223b559a4
13143a7ab6
14b12bdc8
1574dc8aa
hex4f9b04c

83472460 has 72 divisors (see below), whose sum is σ = 187176528. Its totient is φ = 31248000.

The previous prime is 83472457. The next prime is 83472479. The reversal of 83472460 is 6427438.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826410 + ... + 826510.

It is an arithmetic number, because the mean of its divisors is an integer number (2599674).

Almost surely, 283472460 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 83472460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93588264).

83472460 is an abundant number, since it is smaller than the sum of its proper divisors (103704068).

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

83472460 is a wasteful number, since it uses less digits than its factorization.

83472460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 83472460 is about 9136.3263952203. The cubic root of 83472460 is about 437.0331738959.

Adding to 83472460 its reverse (6427438), we get a palindrome (89899898).

The spelling of 83472460 in words is "eighty-three million, four hundred seventy-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 43 62 86 101 124 155 172 202 215 310 404 430 505 620 860 961 1010 1333 1922 2020 2666 3131 3844 4343 4805 5332 6262 6665 8686 9610 12524 13330 15655 17372 19220 21715 26660 31310 41323 43430 62620 82646 86860 97061 134633 165292 194122 206615 269266 388244 413230 485305 538532 673165 826460 970610 1346330 1941220 2692660 4173623 8347246 16694492 20868115 41736230 83472460