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85421752 = 23133779281
BaseRepresentation
bin1010001011101…
…10111010111000
312221201212121121
411011312322320
5133331444002
612250515024
72055034003
oct505667270
9187655547
1085421752
1144244699
1224735a74
131490b120
14b4b853a
157775237
hex5176eb8

85421752 has 64 divisors (see below), whose sum is σ = 180028800. Its totient is φ = 37739520.

The previous prime is 85421741. The next prime is 85421759. The reversal of 85421752 is 25712458.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85421759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303852 + ... + 304132.

It is an arithmetic number, because the mean of its divisors is an integer number (2812950).

Almost surely, 285421752 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 85421752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90014400).

85421752 is an abundant number, since it is smaller than the sum of its proper divisors (94607048).

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

85421752 is a wasteful number, since it uses less digits than its factorization.

85421752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 85421752 is about 9242.3888686854. The cubic root of 85421752 is about 440.4089723666.

The spelling of 85421752 in words is "eighty-five million, four hundred twenty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 26 37 52 74 79 104 148 158 281 296 316 481 562 632 962 1027 1124 1924 2054 2248 2923 3653 3848 4108 5846 7306 8216 10397 11692 14612 20794 22199 23384 29224 37999 41588 44398 75998 83176 88796 135161 151996 177592 270322 288587 303992 540644 577174 821363 1081288 1154348 1642726 2308696 3285452 6570904 10677719 21355438 42710876 85421752