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84246912 = 2733191283
BaseRepresentation
bin1010000010110…
…00000110000000
312212112012001000
411001120012000
5133031400122
612205412000
72042041551
oct501300600
9185465030
1084246912
1143611a52
122426a000
13145b9459
14b290328
1575e20ac
hex5058180

84246912 has 128 divisors (see below), whose sum is σ = 261936000. Its totient is φ = 26583552.

The previous prime is 84246859. The next prime is 84246937. The reversal of 84246912 is 21964248.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 65023 + ... + 66305.

It is an arithmetic number, because the mean of its divisors is an integer number (2046375).

Almost surely, 284246912 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 84246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130968000).

84246912 is an abundant number, since it is smaller than the sum of its proper divisors (177689088).

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

84246912 is a wasteful number, since it uses less digits than its factorization.

84246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1307 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 84246912 is about 9178.6116597228. The cubic root of 84246912 is about 438.3806036848.

It can be divided in two parts, 84246 and 912, that added together give a palindrome (85158).

The spelling of 84246912 in words is "eighty-four million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1283 1368 1728 1824 2052 2432 2566 2736 3456 3648 3849 4104 5132 5472 7296 7698 8208 10264 10944 11547 15396 16416 20528 21888 23094 24377 30792 32832 34641 41056 46188 48754 61584 65664 69282 73131 82112 92376 97508 123168 138564 146262 164224 184752 195016 219393 246336 277128 292524 369504 390032 438786 492672 554256 585048 658179 739008 780064 877572 1108512 1170096 1316358 1478016 1560128 1755144 2217024 2340192 2632716 3120256 3510288 4434048 4680384 5265432 7020576 9360768 10530864 14041152 21061728 28082304 42123456 84246912