Search a number
-
+
9490037648 = 2471337176159
BaseRepresentation
bin10001101011010011…
…00111101110010000
3220111101011212021212
420311221213232100
5123413422201043
64205404235252
7454112663150
oct106551475620
926441155255
109490037648
11402a973823
121a0a23bb28
13b831579c0
14660536760
153a8228018
hex235a67b90

9490037648 has 80 divisors (see below), whose sum is σ = 23241845760. Its totient is φ = 3652812288.

The previous prime is 9490037639. The next prime is 9490037663. The reversal of 9490037648 is 8467300949.

9490037648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9490037596 and 9490037605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34208 + ... + 141951.

It is an arithmetic number, because the mean of its divisors is an integer number (290523072).

Almost surely, 29490037648 is an apocalyptic number.

It is an amenable number.

9490037648 is an abundant number, since it is smaller than the sum of its proper divisors (13751808112).

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

9490037648 is a wasteful number, since it uses less digits than its factorization.

9490037648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176224 (or 176218 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The square root of 9490037648 is about 97416.8242553616. The cubic root of 9490037648 is about 2117.1712039696.

The spelling of 9490037648 in words is "nine billion, four hundred ninety million, thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 259 296 364 481 518 592 728 962 1036 1456 1924 2072 3367 3848 4144 6734 7696 13468 26936 53872 176159 352318 704636 1233113 1409272 2290067 2466226 2818544 4580134 4932452 6517883 9160268 9864904 13035766 16030469 18320536 19729808 26071532 32060938 36641072 45625181 52143064 64121876 84732479 91250362 104286128 128243752 169464958 182500724 256487504 338929916 365001448 593127353 677859832 730002896 1186254706 1355719664 2372509412 4745018824 9490037648