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84834984 = 233131272141
BaseRepresentation
bin1010000111001…
…11101010101000
312220122001201110
411003213222220
5133204204414
612230150320
72050041213
oct503475250
9186561643
1084834984
1143983863
12244b23a0
1314764020
14b3a477a
1576ab459
hex50e7aa8

84834984 has 64 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 25885440.

The previous prime is 84834977. The next prime is 84835013. The reversal of 84834984 is 48943848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38554 + ... + 40694.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 284834984 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 84834984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

84834984 is an abundant number, since it is smaller than the sum of its proper divisors (145472856).

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

84834984 is a wasteful number, since it uses less digits than its factorization.

84834984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2286 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 84834984 is about 9210.5908605257. The cubic root of 84834984 is about 439.3982545611.

The spelling of 84834984 in words is "eighty-four million, eight hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 762 1016 1524 1651 2141 3048 3302 4282 4953 6423 6604 8564 9906 12846 13208 17128 19812 25692 27833 39624 51384 55666 83499 111332 166998 222664 271907 333996 543814 667992 815721 1087628 1631442 2175256 3262884 3534791 6525768 7069582 10604373 14139164 21208746 28278328 42417492 84834984