Search a number
-
+
1045791376 = 24771347379
BaseRepresentation
bin111110010101011…
…000001010010000
32200212211201001221
4332111120022100
54120210311001
6251434534424
734626036310
oct7625301220
92625751057
101045791376
1149735a5a3
12252297414
13138880a86
149cc6b440
1561c291a1
hex3e558290

1045791376 has 80 divisors (see below), whose sum is σ = 2361277440. Its totient is φ = 439447680.

The previous prime is 1045791371. The next prime is 1045791377. The reversal of 1045791376 is 6731975401.

It is not an unprimeable number, because it can be changed into a prime (1045791371) 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 15 ways as a sum of consecutive naturals, for example, 2759155 + ... + 2759533.

It is an arithmetic number, because the mean of its divisors is an integer number (29515968).

Almost surely, 21045791376 is an apocalyptic number.

1045791376 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 1045791376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180638720).

1045791376 is an abundant number, since it is smaller than the sum of its proper divisors (1315486064).

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

1045791376 is a wasteful number, since it uses less digits than its factorization.

1045791376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 1045791376 is about 32338.6978092811. The cubic root of 1045791376 is about 1015.0365605991.

The spelling of 1045791376 in words is "one billion, forty-five million, seven hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 347 379 497 568 694 758 994 1136 1388 1516 1988 2429 2653 2776 3032 3976 4858 5306 5552 6064 7952 9716 10612 19432 21224 24637 26909 38864 42448 49274 53818 98548 107636 131513 172459 188363 197096 215272 263026 344918 376726 394192 430544 526052 689836 753452 920591 1052104 1379672 1506904 1841182 2104208 2759344 3013808 3682364 7364728 9337423 14729456 18674846 37349692 65361961 74699384 130723922 149398768 261447844 522895688 1045791376