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85447152 = 24327103823
BaseRepresentation
bin1010001011111…
…01000111110000
312221210011110100
411011331013300
5133333302102
612251232400
72055201030
oct505750760
9187704410
1085447152
114426178a
1224748700
131491985b
14b4c38c0
15777ca1c
hex517d1f0

85447152 has 120 divisors (see below), whose sum is σ = 276283904. Its totient is φ = 24147072.

The previous prime is 85447147. The next prime is 85447189. The reversal of 85447152 is 25174458.

It is a super-2 number, since 2×854471522 = 14602431569822208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103413 + ... + 104235.

Almost surely, 285447152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85447152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138141952).

85447152 is an abundant number, since it is smaller than the sum of its proper divisors (190836752).

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

85447152 is a wasteful number, since it uses less digits than its factorization.

85447152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 938 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85447152 is about 9243.7628701736. The cubic root of 85447152 is about 440.4526196386.

The spelling of 85447152 in words is "eighty-five million, four hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 823 824 927 1008 1236 1442 1646 1648 1854 2163 2469 2472 2884 3292 3708 4326 4938 4944 5761 5768 6489 6584 7407 7416 8652 9876 11522 11536 12978 13168 14814 14832 17283 17304 19752 23044 25956 29628 34566 34608 39504 46088 51849 51912 59256 69132 84769 92176 103698 103824 118512 138264 169538 207396 254307 276528 339076 414792 508614 593383 678152 762921 829584 1017228 1186766 1356304 1525842 1780149 2034456 2373532 3051684 3560298 4068912 4747064 5340447 6103368 7120596 9494128 10680894 12206736 14241192 21361788 28482384 42723576 85447152