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5742938601 = 324723895683
BaseRepresentation
bin1010101100100111…
…00100100111101001
3112211020100111201200
411112103210213221
543230143013401
62345511034413
7262213113141
oct52623444751
915736314650
105742938601
112487814854
12114336ba09
13706a5322a
143c6a15921
152392ab686
hex1564e49e9

5742938601 has 24 divisors (see below), whose sum is σ = 8476890240. Its totient is φ = 3744938016.

The previous prime is 5742938549. The next prime is 5742938611. The reversal of 5742938601 is 1068392475.

5742938601 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 9 + 38 + 601 = 666.

5742938601 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5742938601 - 231 = 3595454953 is a prime.

5742938601 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5742938611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1007706 + ... + 1013388.

It is an arithmetic number, because the mean of its divisors is an integer number (353203760).

It is a 1-persistent number, because it is pandigital, but 2⋅5742938601 = 11485877202 is not.

Almost surely, 25742938601 is an apocalyptic number.

It is an amenable number.

5742938601 is a deficient number, since it is larger than the sum of its proper divisors (2733951639).

5742938601 is a wasteful number, since it uses less digits than its factorization.

5742938601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5742938601 is about 75782.1786503925. The cubic root of 5742938601 is about 1790.7902631895.

The spelling of 5742938601 in words is "five billion, seven hundred forty-two million, nine hundred thirty-eight thousand, six hundred one".

Divisors: 1 3 9 47 141 423 2389 5683 7167 17049 21501 51147 112283 267101 336849 801303 1010547 2403909 13576687 40730061 122190183 638104289 1914312867 5742938601