Search a number
-
+
492056064 = 2932106783
BaseRepresentation
bin11101010101000…
…010111000000000
31021021220001000200
4131111002320000
52001431243224
6120454245200
715123256533
oct3525027000
91237801020
10492056064
11232831005
12118956800
137ac33346
14494c8a1a
152d2e95c9
hex1d542e00

492056064 has 60 divisors (see below), whose sum is σ = 1420120416. Its totient is φ = 164017152.

The previous prime is 492056051. The next prime is 492056083. The reversal of 492056064 is 460650294.

492056064 is a `hidden beast` number, since 4 + 92 + 0 + 560 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 48784 + ... + 57999.

Almost surely, 2492056064 is an apocalyptic number.

It is an amenable number.

492056064 is an abundant number, since it is smaller than the sum of its proper divisors (928064352).

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

492056064 is a wasteful number, since it uses less digits than its factorization.

492056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106807 (or 106788 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 492056064 is about 22182.3367569785. The cubic root of 492056064 is about 789.4746622191.

The spelling of 492056064 in words is "four hundred ninety-two million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 106783 213566 320349 427132 640698 854264 961047 1281396 1708528 1922094 2562792 3417056 3844188 5125584 6834112 7688376 10251168 13668224 15376752 20502336 27336448 30753504 41004672 54672896 61507008 82009344 123014016 164018688 246028032 492056064