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85214952 = 23321183541
BaseRepresentation
bin1010001010001…
…00011011101000
312221100100221100
411011010123220
5133303334302
612242241400
72053213044
oct505043350
9187310840
1085214952
1144113289
1224656260
1314867c64
14b463024
157733d1c
hex51446e8

85214952 has 24 divisors (see below), whose sum is σ = 230790690. Its totient is φ = 28404960.

The previous prime is 85214951. The next prime is 85214953. The reversal of 85214952 is 25941258.

It is an interprime number because it is at equal distance from previous prime (85214951) and next prime (85214953).

It can be written as a sum of positive squares in only one way, i.e., 84162276 + 1052676 = 9174^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (85214951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 591699 + ... + 591842.

Almost surely, 285214952 is an apocalyptic number.

It is an amenable number.

85214952 is an abundant number, since it is smaller than the sum of its proper divisors (145575738).

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

85214952 is a wasteful number, since it uses less digits than its factorization.

85214952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183553 (or 1183546 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 85214952 is about 9231.1945055881. The cubic root of 85214952 is about 440.0532855577.

The spelling of 85214952 in words is "eighty-five million, two hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1183541 2367082 3550623 4734164 7101246 9468328 10651869 14202492 21303738 28404984 42607476 85214952