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85243392 = 2932131423
BaseRepresentation
bin1010001010010…
…11011000000000
312221101210221200
411011023120000
5133310242032
612243021200
72053362003
oct505133000
9187353850
1085243392
1144132693
122466a800
1314877ba0
14b46d53a
15773c47c
hex514b600

85243392 has 120 divisors (see below), whose sum is σ = 265128864. Its totient is φ = 26210304.

The previous prime is 85243391. The next prime is 85243409. The reversal of 85243392 is 29334258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85243391) 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, 59193 + ... + 60615.

Almost surely, 285243392 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 85243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132564432).

85243392 is an abundant number, since it is smaller than the sum of its proper divisors (179885472).

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

85243392 is a wasteful number, since it uses less digits than its factorization.

85243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1441 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85243392 is about 9232.7348061124. The cubic root of 85243392 is about 440.1022351967.

It can be divided in two parts, 852 and 43392, that added together give a palindrome (44244).

The spelling of 85243392 in words is "eighty-five million, two hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1423 1536 1664 1872 2304 2496 2846 3328 3744 4269 4608 4992 5692 6656 7488 8538 9984 11384 12807 14976 17076 18499 19968 22768 25614 29952 34152 36998 45536 51228 55497 59904 68304 73996 91072 102456 110994 136608 147992 166491 182144 204912 221988 273216 295984 332982 364288 409824 443976 546432 591968 665964 728576 819648 887952 1092864 1183936 1331928 1639296 1775904 2185728 2367872 2663856 3278592 3551808 4735744 5327712 6557184 7103616 9471488 10655424 14207232 21310848 28414464 42621696 85243392