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488130741 = 327171572903
BaseRepresentation
bin11101000110000…
…100100010110101
31021000111121111100
4131012010202311
51444430140431
6120234200313
715045020460
oct3506044265
91230447440
10488130741
1123059a93a
12117583099
137a18a777
1448b862d7
152ccc14e6
hex1d1848b5

488130741 has 48 divisors (see below), whose sum is σ = 858933504. Its totient is φ = 260762112.

The previous prime is 488130739. The next prime is 488130749. The reversal of 488130741 is 147031884.

488130741 is a `hidden beast` number, since 488 + 130 + 7 + 41 = 666.

It is not a de Polignac number, because 488130741 - 21 = 488130739 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 488130696 and 488130705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488130749) 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 47 ways as a sum of consecutive naturals, for example, 166696 + ... + 169598.

It is an arithmetic number, because the mean of its divisors is an integer number (17894448).

Almost surely, 2488130741 is an apocalyptic number.

It is an amenable number.

488130741 is a deficient number, since it is larger than the sum of its proper divisors (370802763).

488130741 is a wasteful number, since it uses less digits than its factorization.

488130741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 488130741 is about 22093.6810196943. The cubic root of 488130741 is about 787.3697393013.

The spelling of 488130741 in words is "four hundred eighty-eight million, one hundred thirty thousand, seven hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 157 357 471 1071 1099 1413 2669 2903 3297 8007 8709 9891 18683 20321 24021 26127 49351 56049 60963 148053 168147 182889 345457 444159 455771 1036371 1367313 3109113 3190397 4101939 7748107 9571191 23244321 28713573 54236749 69732963 162710247 488130741