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82187850 = 23521793061
BaseRepresentation
bin1001110011000…
…01011001001010
312201122120112110
410321201121022
5132020002400
612053323150
72015404503
oct471413112
9181576473
1082187850
1142435a48
12236364b6
1314048184
14acb5baa
157336e50
hex4e6164a

82187850 has 48 divisors (see below), whose sum is σ = 205031520. Its totient is φ = 21787200.

The previous prime is 82187849. The next prime is 82187869. The reversal of 82187850 is 5878128.

It is a junction number, because it is equal to n+sod(n) for n = 82187799 and 82187808.

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, 25320 + ... + 28380.

It is an arithmetic number, because the mean of its divisors is an integer number (4271490).

Almost surely, 282187850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82187850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102515760).

82187850 is an abundant number, since it is smaller than the sum of its proper divisors (122843670).

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

82187850 is a wasteful number, since it uses less digits than its factorization.

82187850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 82187850 is about 9065.7514856740. The cubic root of 82187850 is about 434.7796479436.

The spelling of 82187850 in words is "eighty-two million, one hundred eighty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 179 358 537 895 1074 1790 2685 3061 4475 5370 6122 8950 9183 13425 15305 18366 26850 30610 45915 76525 91830 153050 229575 459150 547919 1095838 1643757 2739595 3287514 5479190 8218785 13697975 16437570 27395950 41093925 82187850