Search a number
-
+
85578432 = 2631923459
BaseRepresentation
bin1010001100111…
…01001011000000
312222000211112120
411012131023000
5133402002212
612254124240
72056255542
oct506351300
9188024476
1085578432
1144341385
12247b0680
1314964534
14b519692
1577a688c
hex519d2c0

85578432 has 56 divisors (see below), whose sum is σ = 238353600. Its totient is φ = 27023616.

The previous prime is 85578431. The next prime is 85578457. The reversal of 85578432 is 23487558.

It is not an unprimeable number, because it can be changed into a prime (85578431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8082 + ... + 15377.

Almost surely, 285578432 is an apocalyptic number.

It is an amenable number.

85578432 is an abundant number, since it is smaller than the sum of its proper divisors (152775168).

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

85578432 is a wasteful number, since it uses less digits than its factorization.

85578432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493 (or 23483 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 85578432 is about 9250.8611491039. The cubic root of 85578432 is about 440.6780729593.

The spelling of 85578432 in words is "eighty-five million, five hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 23459 46918 70377 93836 140754 187672 281508 375344 445721 563016 750688 891442 1126032 1337163 1501376 1782884 2252064 2674326 3565768 4504128 5348652 7131536 10697304 14263072 21394608 28526144 42789216 85578432