Search a number
-
+
1078425816 = 233137189547
BaseRepresentation
bin100000001000111…
…0111100011011000
32210011020201002220
41000101313203120
54202034111231
6255002224040
735503316406
oct10021674330
92704221086
101078425816
1150381a306
122611b5020
13142568bb0
14a3324476
1564a23896
hex404778d8

1078425816 has 128 divisors (see below), whose sum is σ = 2982873600. Its totient is φ = 322882560.

The previous prime is 1078425811. The next prime is 1078425827. The reversal of 1078425816 is 6185248701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078425811) 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 31 ways as a sum of consecutive naturals, for example, 1971255 + ... + 1971801.

It is an arithmetic number, because the mean of its divisors is an integer number (23303700).

Almost surely, 21078425816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078425816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491436800).

1078425816 is an abundant number, since it is smaller than the sum of its proper divisors (1904447784).

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

1078425816 is a wasteful number, since it uses less digits than its factorization.

1078425816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1078425816 is about 32839.3942696877. The cubic root of 1078425816 is about 1025.4868410283.

The spelling of 1078425816 in words is "one billion, seventy-eight million, four hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 89 104 142 156 178 213 267 284 312 356 426 534 547 568 712 852 923 1068 1094 1157 1641 1704 1846 2136 2188 2314 2769 3282 3471 3692 4376 4628 5538 6319 6564 6942 7111 7384 9256 11076 12638 13128 13884 14222 18957 21333 22152 25276 27768 28444 37914 38837 42666 48683 50552 56888 75828 77674 82147 85332 97366 116511 146049 151656 155348 164294 170664 194732 233022 246441 292098 310696 328588 389464 466044 492882 504881 584196 632879 657176 932088 985764 1009762 1168392 1265758 1514643 1898637 1971528 2019524 2531516 3029286 3456493 3797274 4039048 5063032 6058572 6912986 7594548 10369479 12117144 13825972 15189096 20738958 27651944 41477916 44934409 82955832 89868818 134803227 179737636 269606454 359475272 539212908 1078425816