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85394952 = 23332317189
BaseRepresentation
bin1010001011100…
…00011000001000
312221200111212000
411011300120020
5133330114302
612250151000
72054562606
oct505603010
9187614760
1085394952
1144226545
1224722460
13148cbb76
14b4ac876
15776c31c
hex5170608

85394952 has 64 divisors (see below), whose sum is σ = 247536000. Its totient is φ = 27225792.

The previous prime is 85394941. The next prime is 85394983. The reversal of 85394952 is 25949358.

It is a junction number, because it is equal to n+sod(n) for n = 85394898 and 85394907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627 + ... + 13562.

It is an arithmetic number, because the mean of its divisors is an integer number (3867750).

Almost surely, 285394952 is an apocalyptic number.

It is an amenable number.

85394952 is an abundant number, since it is smaller than the sum of its proper divisors (162141048).

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

85394952 is a wasteful number, since it uses less digits than its factorization.

85394952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17227 (or 17217 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 85394952 is about 9240.9389133356. The cubic root of 85394952 is about 440.3629099576.

The spelling of 85394952 in words is "eighty-five million, three hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 17189 34378 51567 68756 103134 137512 154701 206268 309402 395347 412536 464103 618804 790694 928206 1186041 1237608 1581388 1856412 2372082 3162776 3558123 3712824 4744164 7116246 9488328 10674369 14232492 21348738 28464984 42697476 85394952