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82612494 = 23319731103
BaseRepresentation
bin1001110110010…
…01000100001110
312202110011001000
410323021010032
5132122044434
612110401130
72022123516
oct473110416
9182404030
1082612494
11426a5a98
12238001a6
1314166543
14ad86846
1573bcb99
hex4ec910e

82612494 has 64 divisors (see below), whose sum is σ = 196070400. Its totient is φ = 25707456.

The previous prime is 82612493. The next prime is 82612529. The reversal of 82612494 is 49421628.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82612493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74347 + ... + 75449.

It is an arithmetic number, because the mean of its divisors is an integer number (3063600).

Almost surely, 282612494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82612494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98035200).

82612494 is an abundant number, since it is smaller than the sum of its proper divisors (113457906).

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

82612494 is a wasteful number, since it uses less digits than its factorization.

82612494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82612494 is about 9089.1415436223. The cubic root of 82612494 is about 435.5271611318.

The spelling of 82612494 in words is "eighty-two million, six hundred twelve thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 114 146 171 219 342 438 513 657 1026 1103 1314 1387 1971 2206 2774 3309 3942 4161 6618 8322 9927 12483 19854 20957 24966 29781 37449 41914 59562 62871 74898 80519 125742 161038 188613 241557 377226 483114 565839 724671 1131678 1449342 1529861 2174013 3059722 4348026 4589583 9179166 13768749 27537498 41306247 82612494