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4641996240 = 243257921031
BaseRepresentation
bin1000101001010111…
…10011110111010000
3102222111201211201200
410110223303313100
534001322334430
62044342031200
7223014213510
oct42453636720
912874654650
104641996240
111a72316532
12a96718500
1358c93264b
1432070d840
151c27db460
hex114af3dd0

4641996240 has 120 divisors (see below), whose sum is σ = 17816443008. Its totient is φ = 1061026560.

The previous prime is 4641996221. The next prime is 4641996241. The reversal of 4641996240 is 426991464.

4641996240 is a `hidden beast` number, since 4 + 6 + 4 + 19 + 9 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641996241) 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 23 ways as a sum of consecutive naturals, for example, 455476 + ... + 465555.

Almost surely, 24641996240 is an apocalyptic number.

4641996240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4641996240 is an abundant number, since it is smaller than the sum of its proper divisors (13174446768).

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

4641996240 is a wasteful number, since it uses less digits than its factorization.

4641996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921057 (or 921048 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4641996240 is about 68132.1967941736. The cubic root of 4641996240 is about 1668.1493405269.

The spelling of 4641996240 in words is "four billion, six hundred forty-one million, nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 921031 1842062 2763093 3684124 4605155 5526186 6447217 7368248 8289279 9210310 11052372 12894434 13815465 14736496 16578558 18420620 19341651 22104744 25788868 27630930 32236085 33157116 36841240 38683302 41446395 44209488 51577736 55261860 58024953 64472170 66314232 73682480 77366604 82892790 96708255 103155472 110523720 116049906 128944340 132628464 154733208 165785580 193416510 221047440 232099812 257888680 290124765 309466416 331571160 386833020 464199624 515777360 580249530 663142320 773666040 928399248 1160499060 1547332080 2320998120 4641996240