Search a number
-
+
85869396 = 2235232167
BaseRepresentation
bin1010001111001…
…00001101010100
312222120121200000
411013210031110
5133440310041
612304251300
72061610044
oct507441524
9188517600
1085869396
114451aa48
1224910b30
1314a36ac2
14b593724
157812bb6
hex51e4354

85869396 has 108 divisors (see below), whose sum is σ = 236719392. Its totient is φ = 27214704.

The previous prime is 85869391. The next prime is 85869461. The reversal of 85869396 is 69396858.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85869391) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 514105 + ... + 514271.

Almost surely, 285869396 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 85869396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118359696).

85869396 is an abundant number, since it is smaller than the sum of its proper divisors (150849996).

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

85869396 is a wasteful number, since it uses less digits than its factorization.

85869396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 85869396 is about 9266.5741242381. The cubic root of 85869396 is about 441.1769385783.

The spelling of 85869396 in words is "eighty-five million, eight hundred sixty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 167 207 243 276 324 334 414 486 501 529 621 668 828 972 1002 1058 1242 1503 1587 1863 2004 2116 2484 3006 3174 3726 3841 4509 4761 5589 6012 6348 7452 7682 9018 9522 11178 11523 13527 14283 15364 18036 19044 22356 23046 27054 28566 34569 40581 42849 46092 54108 57132 69138 81162 85698 88343 103707 128547 138276 162324 171396 176686 207414 257094 265029 311121 353372 414828 514188 530058 622242 795087 933363 1060116 1244484 1590174 1866726 2385261 3180348 3733452 4770522 7155783 9541044 14311566 21467349 28623132 42934698 85869396