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4642239368 = 231321721092
BaseRepresentation
bin1000101001011001…
…01111001110001000
3102222112012012020102
410110230233032020
534001403124433
62044351144532
7223016245364
oct42454571610
912875165212
104642239368
111a72472168
12a96815148
1358c9b9200
143207742a4
151c28384e8
hex114b2f388

4642239368 has 108 divisors (see below), whose sum is σ = 10104995565. Its totient is φ = 1998038016.

The previous prime is 4642239359. The next prime is 4642239379. The reversal of 4642239368 is 8639322464.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 53260804 + 4588978564 = 7298^2 + 67742^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=48178.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42589298 + ... + 42589406.

Almost surely, 24642239368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642239368

4642239368 is an abundant number, since it is smaller than the sum of its proper divisors (5462756197).

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

4642239368 is a wasteful number, since it uses less digits than its factorization.

4642239368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 141 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 47.

The square root of 4642239368 is about 68133.9810080110. The cubic root of 4642239368 is about 1668.1784635386.

The spelling of 4642239368 in words is "four billion, six hundred forty-two million, two hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 109 136 169 218 221 289 338 436 442 578 676 872 884 1156 1352 1417 1768 1853 2312 2834 2873 3706 3757 5668 5746 7412 7514 11336 11492 11881 14824 15028 18421 22984 23762 24089 30056 31501 36842 47524 48178 48841 63002 73684 95048 96356 97682 126004 147368 154453 192712 195364 201977 252008 308906 313157 390728 403954 409513 617812 626314 807908 819026 1235624 1252628 1615816 1638052 2007889 2505256 2625701 3276104 3433609 4015778 5251402 5323669 6867218 8031556 10502804 10647338 13734436 16063112 21005608 21294676 27468872 34134113 42589352 44636917 68268226 89273834 136536452 178547668 273072904 357095336 580279921 1160559842 2321119684 4642239368