Search a number
-
+
85030272 = 2732312381
BaseRepresentation
bin1010001000101…
…11010110000000
312220222222121100
411010113112000
5133231432042
612234254400
72051513445
oct504272600
9186888540
1085030272
1143aa7558
1224587400
1314801b92
14b4159cc
1576e924c
hex5117580

85030272 has 96 divisors (see below), whose sum is σ = 252682560. Its totient is φ = 27417600.

The previous prime is 85030271. The next prime is 85030289. The reversal of 85030272 is 27203058.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85030271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34522 + ... + 36902.

It is an arithmetic number, because the mean of its divisors is an integer number (2632110).

Almost surely, 285030272 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 85030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126341280).

85030272 is an abundant number, since it is smaller than the sum of its proper divisors (167652288).

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

85030272 is a wasteful number, since it uses less digits than its factorization.

85030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85030272 is about 9221.1860408518. The cubic root of 85030272 is about 439.7351574237.

The spelling of 85030272 in words is "eighty-five million, thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2381 2976 3968 4464 4762 5952 7143 8928 9524 11904 14286 17856 19048 21429 28572 35712 38096 42858 57144 73811 76192 85716 114288 147622 152384 171432 221433 228576 295244 304768 342864 442866 457152 590488 664299 685728 885732 914304 1180976 1328598 1371456 1771464 2361952 2657196 2742912 3542928 4723904 5314392 7085856 9447808 10628784 14171712 21257568 28343424 42515136 85030272