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85837312 = 291115241
BaseRepresentation
bin1010001110111…
…00011000000000
312222111222122201
411013130120000
5133433243222
612303442544
72061414361
oct507343000
9188458581
1085837312
11444a8930
12248b6454
1314a25312
14b585b68
157808427
hex51dc600

85837312 has 40 divisors (see below), whose sum is σ = 187110792. Its totient is φ = 39014400.

The previous prime is 85837291. The next prime is 85837319. The reversal of 85837312 is 21373858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85837319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1989 + ... + 13252.

Almost surely, 285837312 is an apocalyptic number.

It is an amenable number.

85837312 is an abundant number, since it is smaller than the sum of its proper divisors (101273480).

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

85837312 is a wasteful number, since it uses less digits than its factorization.

85837312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15270 (or 15254 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 85837312 is about 9264.8427941331. The cubic root of 85837312 is about 441.1219850294.

The spelling of 85837312 in words is "eighty-five million, eight hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 15241 30482 60964 121928 167651 243856 335302 487712 670604 975424 1341208 1950848 2682416 3901696 5364832 7803392 10729664 21459328 42918656 85837312