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4242424680 = 2333513302167
BaseRepresentation
bin1111110011011110…
…0100001101101000
3101221122212111121000
43330313210031220
532142030042210
61540545515000
7210063005034
oct37467441550
911848774530
104242424680
1118878134aa
129a4942a60
13527c11080
142c361b1c4
1519c6aeac0
hexfcde4368

4242424680 has 128 divisors (see below), whose sum is σ = 15229267200. Its totient is φ = 1044285696.

The previous prime is 4242424639. The next prime is 4242424687. The reversal of 4242424680 is 864242424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4242424687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137044 + ... + 165123.

It is an arithmetic number, because the mean of its divisors is an integer number (118978650).

Almost surely, 24242424680 is an apocalyptic number.

4242424680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242424680 is an abundant number, since it is smaller than the sum of its proper divisors (10986842520).

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

4242424680 is a wasteful number, since it uses less digits than its factorization.

4242424680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302200 (or 302190 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4242424680 is about 65133.8980869409. The cubic root of 4242424680 is about 1618.8429323470.

The spelling of 4242424680 in words is "four billion, two hundred forty-two million, four hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 302167 604334 906501 1208668 1510835 1813002 2417336 2719503 3021670 3626004 3928171 4532505 5439006 6043340 7252008 7856342 8158509 9065010 10878012 11784513 12086680 13597515 15712684 16317018 18130020 19640855 21756024 23569026 27195030 31425368 32634036 35353539 36260040 39281710 40792545 47138052 54390060 58922565 65268072 70707078 78563420 81585090 94276104 106060617 108780120 117845130 141414156 157126840 163170180 176767695 212121234 235690260 282828312 326340360 353535390 424242468 471380520 530303085 707070780 848484936 1060606170 1414141560 2121212340 4242424680