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84542976 = 293272621
BaseRepresentation
bin1010000101000…
…00011000000000
312220002020011100
411002200120000
5133120333401
612220014400
72044413660
oct502403000
9186066140
1084542976
11437a4431
1224391400
131469113b
14b32a1a0
15764eb86
hex50a0600

84542976 has 120 divisors (see below), whose sum is σ = 278959824. Its totient is φ = 24145920.

The previous prime is 84542923. The next prime is 84542981. The reversal of 84542976 is 67924548.

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 11 ways as a sum of consecutive naturals, for example, 30946 + ... + 33566.

Almost surely, 284542976 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 84542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139479912).

84542976 is an abundant number, since it is smaller than the sum of its proper divisors (194416848).

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

84542976 is a wasteful number, since it uses less digits than its factorization.

84542976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2633 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 84542976 is about 9194.7254445144. The cubic root of 84542976 is about 438.8935284192.

The spelling of 84542976 in words is "eighty-four million, five hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2621 2688 3584 4032 4608 5242 5376 7863 8064 10484 10752 15726 16128 18347 20968 23589 31452 32256 36694 41936 47178 55041 62904 73388 83872 94356 110082 125808 146776 165123 167744 188712 220164 251616 293552 330246 335488 377424 440328 503232 587104 660492 670976 754848 880656 1006464 1174208 1320984 1341952 1509696 1761312 2012928 2348416 2641968 3019392 3522624 4025856 4696832 5283936 6038784 7045248 9393664 10567872 12077568 14090496 21135744 28180992 42271488 84542976