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85693944 = 2337272869
BaseRepresentation
bin1010001101110…
…01010111111000
312222020200222210
411012321113320
5133414201234
612300415120
72060246400
oct506712770
9188220883
1085693944
1144410146
12248474a0
13149a4c9b
14b549800
1577cabe9
hex51b95f8

85693944 has 48 divisors (see below), whose sum is σ = 249215400. Its totient is φ = 24483648.

The previous prime is 85693939. The next prime is 85693963. The reversal of 85693944 is 44939658.

It is a junction number, because it is equal to n+sod(n) for n = 85693893 and 85693902.

It is a congruent number.

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, 35259 + ... + 37610.

Almost surely, 285693944 is an apocalyptic number.

85693944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85693944 is an abundant number, since it is smaller than the sum of its proper divisors (163521456).

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

85693944 is a wasteful number, since it uses less digits than its factorization.

85693944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72892 (or 72881 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 85693944 is about 9257.1023544087. The cubic root of 85693944 is about 440.8762565384.

The spelling of 85693944 in words is "eighty-five million, six hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 72869 145738 218607 291476 437214 510083 582952 874428 1020166 1530249 1748856 2040332 3060498 3570581 4080664 6120996 7141162 10711743 12241992 14282324 21423486 28564648 42846972 85693944