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4242610746 = 2321117274143
BaseRepresentation
bin1111110011100001…
…0001101000111010
3101221200012221211100
43330320101220322
532142102020441
61540553512230
7210064411353
oct37470215072
911850187740
104242610746
111887930280
129a4a12676
13527c7797a
142c3668d2a
1519c6e9cb6
hexfce11a3a

4242610746 has 72 divisors (see below), whose sum is σ = 10652713344. Its totient is φ = 1209997440.

The previous prime is 4242610699. The next prime is 4242610759. The reversal of 4242610746 is 6470162424.

It is a self number, because there is not a number n which added to its sum of digits gives 4242610746.

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 35 ways as a sum of consecutive naturals, for example, 20151 + ... + 94293.

It is an arithmetic number, because the mean of its divisors is an integer number (147954352).

Almost surely, 24242610746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242610746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326356672).

4242610746 is an abundant number, since it is smaller than the sum of its proper divisors (6410102598).

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

4242610746 is a wasteful number, since it uses less digits than its factorization.

4242610746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74196 (or 74176 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4242610746 is about 65135.3264058759. The cubic root of 4242610746 is about 1618.8665986265.

The spelling of 4242610746 in words is "four billion, two hundred forty-two million, six hundred ten thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 9537 19074 28611 57222 74143 148286 222429 444858 667287 815573 1260431 1334574 1631146 2446719 2520862 3781293 4893438 7340157 7562586 11343879 13864741 14680314 21427327 22687758 27729482 41594223 42854654 64281981 83188446 124782669 128563962 192845943 235700597 249565338 385691886 471401194 707101791 1414203582 2121305373 4242610746