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4201491492 = 2233114721601
BaseRepresentation
bin1111101001101101…
…1010110000100100
3101211210211212211000
43322123122300210
532101040211432
61532524313300
7206055042222
oct37233326044
911753755730
104201491492
1118666a5820
129930a2830
1351c5ab853
142bc003b12
15198cc657c
hexfa6dac24

4201491492 has 144 divisors (see below), whose sum is σ = 12148799040. Its totient is φ = 1245312000.

The previous prime is 4201491491. The next prime is 4201491587. The reversal of 4201491492 is 2941941024.

4201491492 is a `hidden beast` number, since 4 + 20 + 149 + 1 + 492 = 666.

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 (4201491491) 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 47 ways as a sum of consecutive naturals, for example, 2623492 + ... + 2625092.

It is an arithmetic number, because the mean of its divisors is an integer number (84366660).

Almost surely, 24201491492 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 4201491492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074399520).

4201491492 is an abundant number, since it is smaller than the sum of its proper divisors (7947307548).

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

4201491492 is a wasteful number, since it uses less digits than its factorization.

4201491492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4201491492 is about 64818.9130732690. The cubic root of 4201491492 is about 1613.6196088119.

The spelling of 4201491492 in words is "four billion, two hundred one million, four hundred ninety-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1601 1692 2068 2209 2538 3102 3202 4418 4653 4803 5076 6204 6404 6627 8836 9306 9606 13254 13959 14409 17611 18612 19212 19881 24299 26508 27918 28818 35222 39762 43227 48598 52833 55836 57636 59643 70444 72897 75247 79524 86454 97196 105666 119286 145794 150494 158499 172908 211332 218691 225741 238572 291588 300988 316998 437382 451482 475497 633996 656073 677223 827717 874764 902964 950994 1312146 1354446 1655434 1901988 2031669 2483151 2624292 2708892 3310868 3536609 4063338 4966302 7073218 7449453 8126676 9932604 10609827 14146436 14898906 21219654 22348359 29797812 31829481 38902699 42439308 44696718 63658962 77805398 89393436 95488443 116708097 127317924 155610796 190976886 233416194 350124291 381953772 466832388 700248582 1050372873 1400497164 2100745746 4201491492