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4642241956 = 221121921632
BaseRepresentation
bin1000101001011001…
…01111110110100100
3102222112012022210021
410110230233312210
534001403220311
62044351204524
7223016256052
oct42454576644
912875168707
104642241956
111a72474100
12a96816744
1358c9ba441
143207751d2
151c2839171
hex114b2fda4

4642241956 has 81 divisors (see below), whose sum is σ = 9482489163. Its totient is φ = 1986787440.

The previous prime is 4642241921. The next prime is 4642241957. The reversal of 4642241956 is 6591422464.

The square root of 4642241956 is 68134.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (4642241957) 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 26 ways as a sum of consecutive naturals, for example, 28479931 + ... + 28480093.

Almost surely, 24642241956 is an apocalyptic number.

4642241956 is the 68134-th square number.

It is an amenable number.

4642241956 is an abundant number, since it is smaller than the sum of its proper divisors (4840247207).

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

4642241956 is a wasteful number, since it uses less digits than its factorization.

4642241956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The cubic root of 4642241956 is about 1668.1787735359.

The spelling of 4642241956 in words is "four billion, six hundred forty-two million, two hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 163 209 242 326 361 418 484 652 722 836 1444 1793 2299 3097 3586 3971 4598 6194 7172 7942 9196 12388 15884 19723 26569 34067 39446 43681 53138 58843 68134 78892 87362 106276 117686 136268 174724 235372 292259 374737 504811 584518 647273 749474 1009622 1169036 1294546 1498948 2019244 2589092 3214849 5552921 6429698 7120003 9591409 11105842 12859396 14240006 19182818 22211684 28480012 38365636 61082131 105505499 122164262 211010998 244328524 422021996 1160560489 2321120978 4642241956