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85336704 = 273274077
BaseRepresentation
bin1010001011000…
…10001010000000
312221120112221200
411011202022000
5133321233304
612245021200
72054231025
oct505421200
9187515850
1085336704
1144196802
12246b4800
13148ab4bb
14b49554c
157759e39
hex5162280

85336704 has 48 divisors (see below), whose sum is σ = 245568570. Its totient is φ = 28445184.

The previous prime is 85336697. The next prime is 85336709. The reversal of 85336704 is 40763358.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 5198400 = 8952^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85336709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35887 + ... + 38190.

Almost surely, 285336704 is an apocalyptic number.

It is an amenable number.

85336704 is an abundant number, since it is smaller than the sum of its proper divisors (160231866).

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

85336704 is a wasteful number, since it uses less digits than its factorization.

85336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74097 (or 74082 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 85336704 is about 9237.7867479175. The cubic root of 85336704 is about 440.2627631597.

The spelling of 85336704 in words is "eighty-five million, three hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 74077 148154 222231 296308 444462 592616 666693 888924 1185232 1333386 1777848 2370464 2666772 3555696 4740928 5333544 7111392 9481856 10667088 14222784 21334176 28445568 42668352 85336704