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84240992 = 2511892689
BaseRepresentation
bin1010000010101…
…10101001100000
312212111212220202
411001112221200
5133031202432
612205324332
72042015363
oct501265140
9185455822
1084240992
1143608560
12242666a8
13145b6854
14b28c0da
1575e0462
hex5056a60

84240992 has 48 divisors (see below), whose sum is σ = 183027600. Its totient is φ = 37847040.

The previous prime is 84240983. The next prime is 84240997. The reversal of 84240992 is 29904248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84240997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29984 + ... + 32672.

It is an arithmetic number, because the mean of its divisors is an integer number (3813075).

Almost surely, 284240992 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 84240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91513800).

84240992 is an abundant number, since it is smaller than the sum of its proper divisors (98786608).

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

84240992 is a wasteful number, since it uses less digits than its factorization.

84240992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 84240992 is about 9178.2891651985. The cubic root of 84240992 is about 438.3703351622.

The spelling of 84240992 in words is "eighty-four million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 712 979 1424 1958 2689 2848 3916 5378 7832 10756 15664 21512 29579 31328 43024 59158 86048 118316 236632 239321 473264 478642 946528 957284 1914568 2632531 3829136 5265062 7658272 10530124 21060248 42120496 84240992