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84242752 = 2611177039
BaseRepresentation
bin1010000010101…
…11000101000000
312212111222022221
411001113011000
5133031232002
612205340424
72042023456
oct501270500
9185458287
1084242752
1143609910
1224267714
13145b75a9
14b28c9d6
1575e0c37
hex5057140

84242752 has 56 divisors (see below), whose sum is σ = 193121280. Its totient is φ = 36034560.

The previous prime is 84242731. The next prime is 84242791. The reversal of 84242752 is 25724248.

84242752 = T93 + T94 + ... + T796.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8449 + ... + 15487.

Almost surely, 284242752 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 84242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96560640).

84242752 is an abundant number, since it is smaller than the sum of its proper divisors (108878528).

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

84242752 is a wasteful number, since it uses less digits than its factorization.

84242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7069 counting only the distinct ones).

The product of its digits is 35840, while the sum is 34.

The square root of 84242752 is about 9178.3850431326. The cubic root of 84242752 is about 438.3733880165.

The spelling of 84242752 in words is "eighty-four million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 7039 11968 14078 28156 56312 77429 112624 119663 154858 225248 239326 309716 450496 478652 619432 957304 1238864 1316293 1914608 2477728 2632586 3829216 4955456 5265172 7658432 10530344 21060688 42121376 84242752