[go: up one dir, main page]

Search a number
-
+
85416432 = 24317104677
BaseRepresentation
bin1010001011101…
…01100111110000
312221201121022120
411011311213300
5133331311212
612250434240
72055012333
oct505654760
9187647276
1085416432
11442406a2
1224732980
131490888a
14b4b661a
15777388c
hex51759f0

85416432 has 40 divisors (see below), whose sum is σ = 233641296. Its totient is φ = 26797056.

The previous prime is 85416431. The next prime is 85416467. The reversal of 85416432 is 23461458.

It is a super-2 number, since 2×854164322 = 14591933711221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85416393 and 85416402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85416431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51523 + ... + 53154.

Almost surely, 285416432 is an apocalyptic number.

It is an amenable number.

85416432 is an abundant number, since it is smaller than the sum of its proper divisors (148224864).

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

85416432 is a wasteful number, since it uses less digits than its factorization.

85416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104705 (or 104699 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 85416432 is about 9242.1010598240. The cubic root of 85416432 is about 440.3998294012.

The spelling of 85416432 in words is "eighty-five million, four hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 104677 209354 314031 418708 628062 837416 1256124 1674832 1779509 2512248 3559018 5024496 5338527 7118036 10677054 14236072 21354108 28472144 42708216 85416432