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84298752 = 210333049
BaseRepresentation
bin1010000011001…
…00110000000000
312212121211011000
411001210300000
5133040030002
612210452000
72042345646
oct501446000
9185554130
1084298752
114364799a
1224294000
1314606c25
14b2a5196
15760261c
hex5064c00

84298752 has 88 divisors (see below), whose sum is σ = 249734000. Its totient is φ = 28090368.

The previous prime is 84298729. The next prime is 84298769. The reversal of 84298752 is 25789248.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84298698 and 84298707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26124 + ... + 29172.

Almost surely, 284298752 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 84298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124867000).

84298752 is an abundant number, since it is smaller than the sum of its proper divisors (165435248).

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

84298752 is a wasteful number, since it uses less digits than its factorization.

84298752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3054 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 84298752 is about 9181.4351819310. The cubic root of 84298752 is about 438.4705020967.

The spelling of 84298752 in words is "eighty-four million, two hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3049 3072 3456 4608 6098 6912 9147 9216 12196 13824 18294 24392 27441 27648 36588 48784 54882 73176 82323 97568 109764 146352 164646 195136 219528 292704 329292 390272 439056 585408 658584 780544 878112 1170816 1317168 1561088 1756224 2341632 2634336 3122176 3512448 4683264 5268672 7024896 9366528 10537344 14049792 21074688 28099584 42149376 84298752