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2538717948 = 2232135424611
BaseRepresentation
bin1001011101010001…
…1100001011111100
320112221001020022200
42113110130023330
520144402433243
61055525311500
7116624514024
oct22724341374
96487036280
102538717948
111093049408
125aa265590
13315c67590
141a124ca84
15ecd27ad3
hex9751c2fc

2538717948 has 36 divisors (see below), whose sum is σ = 6910955688. Its totient is φ = 781143840.

The previous prime is 2538717917. The next prime is 2538717977. The reversal of 2538717948 is 8497178352.

It is a happy number.

2538717948 is a `hidden beast` number, since 2 + 538 + 7 + 17 + 94 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 2538717894 and 2538717903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2711838 + ... + 2712773.

Almost surely, 22538717948 is an apocalyptic number.

It is an amenable number.

2538717948 is an abundant number, since it is smaller than the sum of its proper divisors (4372237740).

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

2538717948 is a wasteful number, since it uses less digits than its factorization.

2538717948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424634 (or 5424629 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 2538717948 is about 50385.6918976012. The cubic root of 2538717948 is about 1364.1793916440.

The spelling of 2538717948 in words is "two billion, five hundred thirty-eight million, seven hundred seventeen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5424611 10849222 16273833 21698444 32547666 48821499 65095332 70519943 97642998 141039886 195285996 211559829 282079772 423119658 634679487 846239316 1269358974 2538717948