Search a number
-
+
85930656 = 2537127873
BaseRepresentation
bin1010001111100…
…11001010100000
312222200201200220
411013303022200
5133444240111
612305443040
72062253460
oct507631240
9188621626
1085930656
1144561a79
1224940480
1314a58956
14b5abba0
157825e06
hex51f32a0

85930656 has 48 divisors (see below), whose sum is σ = 257793984. Its totient is φ = 24551424.

The previous prime is 85930589. The next prime is 85930693. The reversal of 85930656 is 65603958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63265 + ... + 64608.

It is an arithmetic number, because the mean of its divisors is an integer number (5370708).

Almost surely, 285930656 is an apocalyptic number.

It is an amenable number.

85930656 is an abundant number, since it is smaller than the sum of its proper divisors (171863328).

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

85930656 is a wasteful number, since it uses less digits than its factorization.

85930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127893 (or 127885 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 85930656 is about 9269.8789636111. The cubic root of 85930656 is about 441.2818268392.

The spelling of 85930656 in words is "eighty-five million, nine hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 127873 255746 383619 511492 767238 895111 1022984 1534476 1790222 2045968 2685333 3068952 3580444 4091936 5370666 6137904 7160888 10741332 12275808 14321776 21482664 28643552 42965328 85930656