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496385901 = 34111493739
BaseRepresentation
bin11101100101100…
…011111101101101
31021121001000110000
4131211203331231
52004033322101
6121131134513
715205132134
oct3545437555
91247030400
10496385901
11235219090
1211a2a4439
137babb08b
1449cd491b
152d8a2486
hex1d963f6d

496385901 has 40 divisors (see below), whose sum is σ = 814572000. Its totient is φ = 298740960.

The previous prime is 496385867. The next prime is 496385917. The reversal of 496385901 is 109583694.

It is a happy number.

496385901 is a `hidden beast` number, since 4 + 9 + 638 + 5 + 9 + 0 + 1 = 666.

It is not a de Polignac number, because 496385901 - 29 = 496385389 is a prime.

It is a super-3 number, since 3×4963859013 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496385101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130890 + ... + 134628.

It is an arithmetic number, because the mean of its divisors is an integer number (20364300).

Almost surely, 2496385901 is an apocalyptic number.

It is an amenable number.

496385901 is a deficient number, since it is larger than the sum of its proper divisors (318186099).

496385901 is a wasteful number, since it uses less digits than its factorization.

496385901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 496385901 is about 22279.7195000296. The cubic root of 496385901 is about 791.7835582794.

The spelling of 496385901 in words is "four hundred ninety-six million, three hundred eighty-five thousand, nine hundred one".

Divisors: 1 3 9 11 27 33 81 99 149 297 447 891 1341 1639 3739 4023 4917 11217 12069 14751 33651 41129 44253 100953 123387 132759 302859 370161 557111 1110483 1671333 3331449 5013999 6128221 15041997 18384663 45125991 55153989 165461967 496385901