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5136192 = 263237241
BaseRepresentation
bin10011100101111101000000
3100122221112100
4103211331000
52303324232
6302030400
761441215
oct23457500
910587470
105136192
112998996
121878400
1310aaa89
14979b0c
156b6c7c
hex4e5f40

5136192 has 84 divisors (see below), whose sum is σ = 15182596. Its totient is φ = 1658880.

The previous prime is 5136163. The next prime is 5136239. The reversal of 5136192 is 2916315.

5136192 is a `hidden beast` number, since 513 + 61 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4260096 + 876096 = 2064^2 + 936^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21192 + ... + 21432.

Almost surely, 25136192 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 5136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591298).

5136192 is an abundant number, since it is smaller than the sum of its proper divisors (10046404).

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

5136192 is a wasteful number, since it uses less digits than its factorization.

5136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 5136192 is about 2266.3168357491. The cubic root of 5136192 is about 172.5362746650.

The spelling of 5136192 in words is "five million, one hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 241 288 296 333 444 482 576 592 666 723 888 964 1184 1332 1446 1776 1928 2169 2368 2664 2892 3552 3856 4338 5328 5784 7104 7712 8676 8917 10656 11568 15424 17352 17834 21312 23136 26751 34704 35668 46272 53502 69408 71336 80253 107004 138816 142672 160506 214008 285344 321012 428016 570688 642024 856032 1284048 1712064 2568096 5136192