Search a number
-
+
1492193088 = 263217152389
BaseRepresentation
bin101100011110001…
…0000111101000000
310211222211021002200
41120330100331000
511024000134323
6404022513200
751656301111
oct13074207500
93758737080
101492193088
116a6338831
12357895800
131aa1ba9b9
14102270208
158b006443
hex58f10f40

1492193088 has 84 divisors (see below), whose sum is σ = 4528726020. Its totient is φ = 468135936.

The previous prime is 1492193081. The next prime is 1492193093. The reversal of 1492193088 is 8803912941.

It can be written as a sum of positive squares in 2 ways, for example, as 1371369024 + 120824064 = 37032^2 + 10992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1492193081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66403 + ... + 85986.

It is an arithmetic number, because the mean of its divisors is an integer number (53913405).

Almost surely, 21492193088 is an apocalyptic number.

1492193088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1492193088 is an abundant number, since it is smaller than the sum of its proper divisors (3036532932).

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

1492193088 is a wasteful number, since it uses less digits than its factorization.

1492193088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152424 (or 152411 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1492193088 is about 38628.9151802118. The cubic root of 1492193088 is about 1142.7248575934.

The spelling of 1492193088 in words is "one billion, four hundred ninety-two million, one hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 152389 304778 457167 609556 914334 1219112 1371501 1828668 2438224 2590613 2743002 3657336 4876448 5181226 5486004 7314672 7771839 9752896 10362452 10972008 14629344 15543678 20724904 21944016 23315517 29258688 31087356 41449808 43888032 46631034 62174712 82899616 87776064 93262068 124349424 165799232 186524136 248698848 373048272 497397696 746096544 1492193088