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4264043490 = 232573127043
BaseRepresentation
bin1111111000101000…
…0010001111100010
3102000011112212000200
43332022002033202
532213043342430
61543041130030
7210444525450
oct37612021742
912004485020
104264043490
111898a39a93
129b0029916
1352c540275
142c64479d0
1519e530460
hexfe2823e2

4264043490 has 144 divisors (see below), whose sum is σ = 13094063424. Its totient is φ = 943064640.

The previous prime is 4264043473. The next prime is 4264043491. The reversal of 4264043490 is 943404624.

4264043490 is a `hidden beast` number, since 4 + 2 + 640 + 4 + 3 + 4 + 9 + 0 = 666.

4264043490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42640434902 = 36364133769222760200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4264043491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601909 + ... + 608951.

It is an arithmetic number, because the mean of its divisors is an integer number (90930996).

Almost surely, 24264043490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4264043490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547031712).

4264043490 is an abundant number, since it is smaller than the sum of its proper divisors (8830019934).

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

4264043490 is a wasteful number, since it uses less digits than its factorization.

4264043490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4264043490 is about 65299.6438734546. The cubic root of 4264043490 is about 1621.5880746288.

The spelling of 4264043490 in words is "four billion, two hundred sixty-four million, forty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 961 1085 1302 1395 1922 1953 2170 2790 2883 3255 3906 4805 5766 6510 6727 7043 8649 9610 9765 13454 14086 14415 17298 19530 20181 21129 28830 33635 35215 40362 42258 43245 49301 60543 63387 67270 70430 86490 98602 100905 105645 121086 126774 147903 201810 211290 218333 246505 295806 302715 316935 436666 443709 493010 605430 633870 654999 739515 887418 1091665 1309998 1479030 1528331 1964997 2183330 2218545 3056662 3274995 3929994 4437090 4584993 6549990 6768323 7641655 9169986 9824985 13536646 13754979 15283310 19649970 20304969 22924965 27509958 33841615 40609938 45849930 47378261 60914907 67683230 68774895 94756522 101524845 121829814 137549790 142134783 203049690 236891305 284269566 304574535 426404349 473782610 609149070 710673915 852808698 1421347830 2132021745 4264043490