Search a number
-
+
1052494992 = 243322910639
BaseRepresentation
bin111110101110111…
…100110010010000
32201100110021201000
4332232330302100
54123414314432
6252234342000
735040026343
oct7656746220
92640407630
101052494992
114a011907a
1225458a900
1313a08a103
149dad445a
156260057c
hex3ebbcc90

1052494992 has 80 divisors (see below), whose sum is σ = 3034528000. Its totient is φ = 349266816.

The previous prime is 1052494979. The next prime is 1052494997. The reversal of 1052494992 is 2994942501.

It is a super-2 number, since 2×10524949922 = 2215491416370160128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052494997) 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 15 ways as a sum of consecutive naturals, for example, 93609 + ... + 104247.

It is an arithmetic number, because the mean of its divisors is an integer number (37931600).

Almost surely, 21052494992 is an apocalyptic number.

1052494992 is a gapful number since it is divisible by the number (12) 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 1052494992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517264000).

1052494992 is an abundant number, since it is smaller than the sum of its proper divisors (1982033008).

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

1052494992 is a wasteful number, since it uses less digits than its factorization.

1052494992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1052494992 is about 32442.1792116374. The cubic root of 1052494992 is about 1017.2007678747.

The spelling of 1052494992 in words is "one billion, fifty-two million, four hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10639 10992 12366 16488 21278 24732 31917 32976 42556 49464 63834 85112 95751 98928 127668 170224 191502 255336 287253 383004 510672 574506 766008 1149012 1532016 2298024 2436331 4596048 4872662 7308993 9745324 14617986 19490648 21926979 29235972 38981296 43853958 58471944 65780937 87707916 116943888 131561874 175415832 263123748 350831664 526247496 1052494992