Search a number
-
+
1561463376 = 2431122311689
BaseRepresentation
bin101110100010010…
…0000101001010000
311000211011120001220
41131010200221100
511144213312001
6414535325040
753460135234
oct13504405120
94024146056
101561463376
11731450600
12376b20780
131bb662335
1410b5425c4
159213ac36
hex5d120a50

1561463376 has 120 divisors (see below), whose sum is σ = 4626995520. Its totient is φ = 452559360.

The previous prime is 1561463363. The next prime is 1561463401. The reversal of 1561463376 is 6733641651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127740 + ... + 139428.

It is an arithmetic number, because the mean of its divisors is an integer number (38558296).

Almost surely, 21561463376 is an apocalyptic number.

1561463376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561463376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313497760).

1561463376 is an abundant number, since it is smaller than the sum of its proper divisors (3065532144).

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

1561463376 is a wasteful number, since it uses less digits than its factorization.

1561463376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11728 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 1561463376 is about 39515.3562048984. The cubic root of 1561463376 is about 1160.1405339051.

The spelling of 1561463376 in words is "one billion, five hundred sixty-one million, four hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 121 132 138 176 184 242 253 264 276 363 368 484 506 528 552 726 759 968 1012 1104 1452 1518 1936 2024 2783 2904 3036 4048 5566 5808 6072 8349 11132 11689 12144 16698 22264 23378 33396 35067 44528 46756 66792 70134 93512 128579 133584 140268 187024 257158 268847 280536 385737 514316 537694 561072 771474 806541 1028632 1075388 1414369 1542948 1613082 2057264 2150776 2828738 2957317 3085896 3226164 4243107 4301552 5657476 5914634 6171792 6452328 8486214 8871951 11314952 11829268 12904656 16972428 17743902 22629904 23658536 32530487 33944856 35487804 47317072 65060974 67889712 70975608 97591461 130121948 141951216 195182922 260243896 390365844 520487792 780731688 1561463376