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82874448 = 2433414679
BaseRepresentation
bin1001111000010…
…01000001010000
312202221110101000
410330021001100
5132203440243
612120142000
72024264316
oct474110120
9182843330
1082874448
1142864888
1223907900
1314228847
14b0140b6
1574205d3
hex4f09050

82874448 has 80 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 26945280.

The previous prime is 82874437. The next prime is 82874453. The reversal of 82874448 is 84447828.

It is a happy number.

It is a congruent number.

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, 15373 + ... + 20051.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 282874448 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 82874448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

82874448 is an abundant number, since it is smaller than the sum of its proper divisors (160859952).

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

82874448 is a wasteful number, since it uses less digits than its factorization.

82874448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4725 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 82874448 is about 9103.5404101921. The cubic root of 82874448 is about 435.9870096851.

The spelling of 82874448 in words is "eighty-two million, eight hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 4679 5904 8856 9358 14037 17712 18716 28074 37432 42111 56148 74864 84222 112296 126333 168444 191839 224592 252666 336888 383678 505332 575517 673776 767356 1010664 1151034 1534712 1726551 2021328 2302068 3069424 3453102 4604136 5179653 6906204 9208272 10359306 13812408 20718612 27624816 41437224 82874448