Search a number
-
+
1493141562 = 2321119735437
BaseRepresentation
bin101100011111111…
…1000100000111010
310212001121110011100
41120333320200322
511024221012222
6404055112230
752000331253
oct13077704072
93761543140
101493141562
116a69263a0
12358072676
131aa460623
14102439b2a
158b1424ac
hex58ff883a

1493141562 has 96 divisors (see below), whose sum is σ = 3766576320. Its totient is φ = 422703360.

The previous prime is 1493141561. The next prime is 1493141563. The reversal of 1493141562 is 2651413941.

It is a happy number.

1493141562 is a `hidden beast` number, since 1 + 4 + 93 + 1 + 4 + 1 + 562 = 666.

It is an interprime number because it is at equal distance from previous prime (1493141561) and next prime (1493141563).

It is not an unprimeable number, because it can be changed into a prime (1493141561) 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, 271908 + ... + 277344.

It is an arithmetic number, because the mean of its divisors is an integer number (39235170).

Almost surely, 21493141562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493141562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883288160).

1493141562 is an abundant number, since it is smaller than the sum of its proper divisors (2273434758).

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

1493141562 is a wasteful number, since it uses less digits than its factorization.

1493141562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5545 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1493141562 is about 38641.1899661488. The cubic root of 1493141562 is about 1142.9669208284.

The spelling of 1493141562 in words is "one billion, four hundred ninety-three million, one hundred forty-one thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 73 99 114 146 171 198 209 219 342 418 438 627 657 803 1254 1314 1387 1606 1881 2409 2774 3762 4161 4818 5437 7227 8322 10874 12483 14454 15257 16311 24966 30514 32622 45771 48933 59807 91542 97866 103303 119614 137313 179421 206606 274626 309909 358842 396901 538263 619818 793802 929727 1076526 1136333 1190703 1859454 2272666 2381406 3408999 3572109 4365911 6817998 7144218 7541119 8731822 10226997 13097733 15082238 20453994 22623357 26195466 39293199 45246714 67870071 78586398 82952309 135740142 165904618 248856927 497713854 746570781 1493141562