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4242511242 = 235371311801
BaseRepresentation
bin1111110011011111…
…1001010110001010
3101221200000220100000
43330313321112022
532142040324432
61540551423430
7210063515304
oct37467712612
911850026300
104242511242
111887872542
129a4984b76
13527c415a8
142c3640974
1519c6ca57c
hexfcdf958a

4242511242 has 96 divisors (see below), whose sum is σ = 9870404544. Its totient is φ = 1364688000.

The previous prime is 4242511223. The next prime is 4242511249. The reversal of 4242511242 is 2421152424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4242511249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354742 + ... + 2356542.

It is an arithmetic number, because the mean of its divisors is an integer number (102816714).

Almost surely, 24242511242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242511242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935202272).

4242511242 is an abundant number, since it is smaller than the sum of its proper divisors (5627893302).

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

4242511242 is a wasteful number, since it uses less digits than its factorization.

4242511242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1974 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 4242511242 is about 65134.5625762544. The cubic root of 4242511242 is about 1618.8539425074.

Adding to 4242511242 its reverse (2421152424), we get a palindrome (6663663666).

The spelling of 4242511242 in words is "four billion, two hundred forty-two million, five hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 131 162 222 243 262 333 393 486 666 786 999 1179 1801 1998 2358 2997 3537 3602 4847 5403 5994 7074 8991 9694 10611 10806 14541 16209 17982 21222 29082 31833 32418 43623 48627 63666 66637 87246 97254 130869 133274 145881 199911 235931 261738 291762 392607 399822 437643 471862 599733 707793 785214 875286 1177821 1199466 1415586 1799199 2123379 2355642 3598398 4246758 5397597 6370137 8729447 10795194 12740274 16192791 17458894 19110411 26188341 32385582 38220822 52376682 57331233 78565023 114662466 157130046 235695069 471390138 707085207 1414170414 2121255621 4242511242