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2828609136 = 243231633649
BaseRepresentation
bin1010100010011001…
…0010011001110000
321022010112020021100
42220212102121300
521243110443021
61144402524400
7130044531603
oct25046223160
97263466240
102828609136
111221748a01
1266b366700
13361036122
141cb95033a
151184db626
hexa8992670

2828609136 has 60 divisors (see below), whose sum is σ = 8171550400. Its totient is φ = 912453120.

The previous prime is 2828609129. The next prime is 2828609159. The reversal of 2828609136 is 6319068282.

2828609136 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 609 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2828609091 and 2828609100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 312361 + ... + 321288.

Almost surely, 22828609136 is an apocalyptic number.

It is an amenable number.

2828609136 is an abundant number, since it is smaller than the sum of its proper divisors (5342941264).

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

2828609136 is a wasteful number, since it uses less digits than its factorization.

2828609136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633694 (or 633685 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2828609136 is about 53184.6701221320. The cubic root of 2828609136 is about 1414.2438969314.

The spelling of 2828609136 in words is "two billion, eight hundred twenty-eight million, six hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 633649 1267298 1900947 2534596 3801894 5069192 5702841 7603788 10138384 11405682 15207576 19643119 22811364 30415152 39286238 45622728 58929357 78572476 91245456 117858714 157144952 176788071 235717428 314289904 353576142 471434856 707152284 942869712 1414304568 2828609136