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84264246 = 233111271117
BaseRepresentation
bin1010000010111…
…00010100110110
312212120001211000
411001130110312
5133032423441
612210024130
72042143233
oct501342466
9185501730
1084264246
1143623a80
1224278046
13145c4301
14b29678a
1575e72b6
hex505c536

84264246 has 64 divisors (see below), whose sum is σ = 206069760. Its totient is φ = 25310880.

The previous prime is 84264239. The next prime is 84264251. The reversal of 84264246 is 64246248.

It is a happy number.

84264246 is a `hidden beast` number, since 8 + 4 + 2 + 642 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84264246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74880 + ... + 75996.

It is an arithmetic number, because the mean of its divisors is an integer number (3219840).

Almost surely, 284264246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84264246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103034880).

84264246 is an abundant number, since it is smaller than the sum of its proper divisors (121805514).

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

84264246 is a wasteful number, since it uses less digits than its factorization.

84264246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84264246 is about 9179.5558716095. Note that the first 3 decimals coincide. The cubic root of 84264246 is about 438.4106675692.

The spelling of 84264246 in words is "eighty-four million, two hundred sixty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 1117 1143 1397 2234 2286 2794 3351 3429 4191 6702 6858 8382 10053 12287 12573 20106 24574 25146 30159 36861 37719 60318 73722 75438 110583 141859 221166 283718 331749 425577 663498 851154 1276731 1560449 2553462 3120898 3830193 4681347 7660386 9362694 14044041 28088082 42132123 84264246