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85520976 = 24319791187
BaseRepresentation
bin1010001100011…
…11001001010000
312221220220201120
411012033021100
5133343132401
612253002240
72055626202
oct506171120
9187826646
1085520976
11443021a2
1224783380
1314944338
14b502772
157794836
hex518f250

85520976 has 80 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 26642304.

The previous prime is 85520933. The next prime is 85520977. The reversal of 85520976 is 67902558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85520977) 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 15 ways as a sum of consecutive naturals, for example, 71455 + ... + 72641.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 285520976 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 85520976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

85520976 is an abundant number, since it is smaller than the sum of its proper divisors (150178224).

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

85520976 is a wasteful number, since it uses less digits than its factorization.

85520976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 85520976 is about 9247.7551870711. The cubic root of 85520976 is about 440.5794294605.

The spelling of 85520976 in words is "eighty-five million, five hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1187 1264 1501 1896 2374 3002 3561 3792 4503 4748 6004 7122 9006 9496 12008 14244 18012 18992 22553 24016 28488 36024 45106 56976 67659 72048 90212 93773 135318 180424 187546 270636 281319 360848 375092 541272 562638 750184 1082544 1125276 1500368 1781687 2250552 3563374 4501104 5345061 7126748 10690122 14253496 21380244 28506992 42760488 85520976