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84199296 = 273297561
BaseRepresentation
bin1010000010011…
…00011110000000
312212102202201110
411001030132000
5133023334141
612204403320
72041452666
oct501143600
9185382643
1084199296
114358a1a5
1224246540
13145a088c
14b27ac36
1575d2e16
hex504c780

84199296 has 64 divisors (see below), whose sum is σ = 231397200. Its totient is φ = 27095040.

The previous prime is 84199277. The next prime is 84199301. The reversal of 84199296 is 69299148.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7356 + ... + 14916.

Almost surely, 284199296 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 84199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115698600).

84199296 is an abundant number, since it is smaller than the sum of its proper divisors (147197904).

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

84199296 is a wasteful number, since it uses less digits than its factorization.

84199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7595 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 84199296 is about 9176.0174367751. The cubic root of 84199296 is about 438.2979978295.

The spelling of 84199296 in words is "eighty-four million, one hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 7561 11136 15122 22683 30244 45366 60488 90732 120976 181464 219269 241952 362928 438538 483904 657807 725856 877076 967808 1315614 1451712 1754152 2631228 2903424 3508304 5262456 7016608 10524912 14033216 21049824 28066432 42099648 84199296