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5040524049 = 3115914871741
BaseRepresentation
bin1001011000111000…
…00100101100010001
3111000021122011002220
410230130010230101
540310333232144
62152055531253
7235623514251
oct45434045421
914007564086
105040524049
112157276360
12b88089b29
13624379b12
1435b60d961
151e77ad919
hex12c704b11

5040524049 has 32 divisors (see below), whose sum is σ = 7465236480. Its totient is φ = 2999342400.

The previous prime is 5040524039. The next prime is 5040524161. The reversal of 5040524049 is 9404250405.

It is not a de Polignac number, because 5040524049 - 24 = 5040524033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5040524009) 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 31 ways as a sum of consecutive naturals, for example, 2894319 + ... + 2896059.

It is an arithmetic number, because the mean of its divisors is an integer number (233288640).

Almost surely, 25040524049 is an apocalyptic number.

5040524049 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

5040524049 is a deficient number, since it is larger than the sum of its proper divisors (2424712431).

5040524049 is a wasteful number, since it uses less digits than its factorization.

5040524049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5040524049 is about 70996.6481532755. The cubic root of 5040524049 is about 1714.5831986407.

The spelling of 5040524049 in words is "five billion, forty million, five hundred twenty-four thousand, forty-nine".

Divisors: 1 3 11 33 59 177 649 1487 1741 1947 4461 5223 16357 19151 49071 57453 87733 102719 263199 308157 965063 1129909 2588867 2895189 3389727 7766601 28477537 85432611 152743153 458229459 1680174683 5040524049