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84741696 = 26321311317
BaseRepresentation
bin1010000110100…
…00111001000000
312220110022202100
411003100321000
5133143213241
612224150400
72046202224
oct503207100
9186408670
1084741696
114391a766
1224468400
1314730720
14b37c784
15768d9b6
hex50d0e40

84741696 has 84 divisors (see below), whose sum is σ = 261604252. Its totient is φ = 26072064.

The previous prime is 84741689. The next prime is 84741703. The reversal of 84741696 is 69614748.

It is an interprime number because it is at equal distance from previous prime (84741689) and next prime (84741703).

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 32901696 = 7200^2 + 5736^2 .

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, 1830 + ... + 13146.

Almost surely, 284741696 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 84741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130802126).

84741696 is an abundant number, since it is smaller than the sum of its proper divisors (176862556).

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

84741696 is a wasteful number, since it uses less digits than its factorization.

84741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 11335 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 84741696 is about 9205.5252973418. The cubic root of 84741696 is about 439.2371354229.

The spelling of 84741696 in words is "eighty-four million, seven hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 11317 22634 33951 45268 67902 90536 101853 135804 147121 181072 203706 271608 294242 362144 407412 441363 543216 588484 724288 814824 882726 1086432 1176968 1324089 1629648 1765452 2172864 2353936 2648178 3259296 3530904 4707872 5296356 6518592 7061808 9415744 10592712 14123616 21185424 28247232 42370848 84741696