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84796848 = 24331910331
BaseRepresentation
bin1010000110111…
…10010110110000
312220120010102000
411003132112300
5133201444343
612225254000
72046522063
oct503362660
9186503360
1084796848
1143958144
1224494300
131474c866
14b3948da
15769eed3
hex50de5b0

84796848 has 80 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 26775360.

The previous prime is 84796813. The next prime is 84796849. The reversal of 84796848 is 84869748.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84796794 and 84796803.

It is not an unprimeable number, because it can be changed into a prime (84796849) by changing a digit.

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, 3043 + ... + 13373.

It is an arithmetic number, because the mean of its divisors is an integer number (3202920).

Almost surely, 284796848 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 84796848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

84796848 is an abundant number, since it is smaller than the sum of its proper divisors (171436752).

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

84796848 is a wasteful number, since it uses less digits than its factorization.

84796848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10367 (or 10355 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 84796848 is about 9208.5204023231. The cubic root of 84796848 is about 439.3324035698.

Subtracting 84796848 from its reverse (84869748), we obtain a square (72900 = 2702).

The spelling of 84796848 in words is "eighty-four million, seven hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 10331 20662 30993 41324 61986 82648 92979 123972 165296 185958 196289 247944 278937 371916 392578 495888 557874 588867 743832 785156 1115748 1177734 1487664 1570312 1766601 2231496 2355468 3140624 3533202 4462992 4710936 5299803 7066404 9421872 10599606 14132808 21199212 28265616 42398424 84796848