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1993607244 = 223267978521
BaseRepresentation
bin111011011010100…
…0000100001001100
312010221022202000100
41312311000201030
513040330412434
6525453531100
7100255245006
oct16665004114
95127282010
101993607244
119333806a2
124777a3a90
1325a049675
1414cab3376
15ba04d699
hex76d4084c

1993607244 has 72 divisors (see below), whose sum is σ = 5167945328. Its totient is φ = 647792640.

The previous prime is 1993607173. The next prime is 1993607251. The reversal of 1993607244 is 4427063991.

It is a happy number.

1993607244 is a `hidden beast` number, since 19 + 9 + 3 + 607 + 24 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1993607244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229704 + ... + 238224.

Almost surely, 21993607244 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 1993607244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583972664).

1993607244 is an abundant number, since it is smaller than the sum of its proper divisors (3174338084).

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

1993607244 is a wasteful number, since it uses less digits than its factorization.

1993607244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1993607244 is about 44649.8291598075. The cubic root of 1993607244 is about 1258.5772224409.

The spelling of 1993607244 in words is "one billion, nine hundred ninety-three million, six hundred seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 97 134 194 201 268 291 388 402 582 603 804 873 1164 1206 1746 2412 3492 6499 8521 12998 17042 19497 25563 25996 34084 38994 51126 58491 76689 77988 102252 116982 153378 233964 306756 570907 826537 1141814 1653074 1712721 2283628 2479611 3306148 3425442 4959222 5138163 6850884 7438833 9918444 10276326 14877666 20552652 29755332 55377979 110755958 166133937 221511916 332267874 498401811 664535748 996803622 1993607244