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85097472 = 210327701
BaseRepresentation
bin1010001001001…
…11110000000000
312221010101210020
411010213300000
5133241104342
612235533440
72052213405
oct504476000
9187111706
1085097472
1144042a99
12245ba280
1314826645
14b4322ac
15770e0ec
hex5127c00

85097472 has 44 divisors (see below), whose sum is σ = 226823976. Its totient is φ = 28364800.

The previous prime is 85097459. The next prime is 85097479. The reversal of 85097472 is 27479058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85097479) 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, 10779 + ... + 16922.

Almost surely, 285097472 is an apocalyptic number.

It is an amenable number.

85097472 is an abundant number, since it is smaller than the sum of its proper divisors (141726504).

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

85097472 is a wasteful number, since it uses less digits than its factorization.

85097472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27724 (or 27706 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 85097472 is about 9224.8291041081. The cubic root of 85097472 is about 439.8509688115.

The spelling of 85097472 in words is "eighty-five million, ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 27701 55402 83103 110804 166206 221608 332412 443216 664824 886432 1329648 1772864 2659296 3545728 5318592 7091456 10637184 14182912 21274368 28365824 42548736 85097472