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84696144 = 24313135731
BaseRepresentation
bin1010000110001…
…01110001010000
312220101000021020
411003011301100
5133140234034
612223155440
72045622351
oct503056120
9186330236
1084696144
1143899515
1224445b80
1314715a80
14b369d28
157680249
hex50c5c50

84696144 has 40 divisors (see below), whose sum is σ = 235630752. Its totient is φ = 26060160.

The previous prime is 84696109. The next prime is 84696169. The reversal of 84696144 is 44169648.

It is a junction number, because it is equal to n+sod(n) for n = 84696096 and 84696105.

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, 67242 + ... + 68489.

Almost surely, 284696144 is an apocalyptic number.

It is an amenable number.

84696144 is an abundant number, since it is smaller than the sum of its proper divisors (150934608).

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

84696144 is a wasteful number, since it uses less digits than its factorization.

84696144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135755 (or 135749 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 84696144 is about 9203.0507985124. The cubic root of 84696144 is about 439.1584188955.

The spelling of 84696144 in words is "eighty-four million, six hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 135731 271462 407193 542924 814386 1085848 1628772 1764503 2171696 3257544 3529006 5293509 6515088 7058012 10587018 14116024 21174036 28232048 42348072 84696144