Search a number
-
+
85757412 = 223131928933
BaseRepresentation
bin1010001110010…
…00110111100100
312222100221001110
411013020313210
5133423214122
612302025020
72060632416
oct507106744
9188327043
1085757412
11444538a4
1224878170
13149c7b40
14b5649b6
1577de90c
hex51c8de4

85757412 has 48 divisors (see below), whose sum is σ = 226842560. Its totient is φ = 24997248.

The previous prime is 85757411. The next prime is 85757429. The reversal of 85757412 is 21475758.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85757411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11503 + ... + 17430.

Almost surely, 285757412 is an apocalyptic number.

It is an amenable number.

85757412 is an abundant number, since it is smaller than the sum of its proper divisors (141085148).

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

85757412 is a wasteful number, since it uses less digits than its factorization.

85757412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28972 (or 28970 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 85757412 is about 9260.5297904602. The cubic root of 85757412 is about 440.9850725867.

The spelling of 85757412 in words is "eighty-five million, seven hundred fifty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 28933 57866 86799 115732 173598 347196 376129 549727 752258 1099454 1128387 1504516 1649181 2198908 2256774 3298362 4513548 6596724 7146451 14292902 21439353 28585804 42878706 85757412