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1054198992 = 243711285227
BaseRepresentation
bin111110110101011…
…100110011010000
32201110122212011010
4332311130303100
54124333331432
6252335050520
735060354310
oct7665346320
92643585133
101054198992
114a1082340
12255070a40
1313a5358b2
14a0019440
156283a3cc
hex3ed5ccd0

1054198992 has 80 divisors (see below), whose sum is σ = 3395354112. Its totient is φ = 273816960.

The previous prime is 1054198987. The next prime is 1054198993. The reversal of 1054198992 is 2998914501.

It is a super-2 number, since 2×10541989922 = 2222671029467632128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054198993) 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, 138918 + ... + 146309.

Almost surely, 21054198992 is an apocalyptic number.

1054198992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054198992 is an abundant number, since it is smaller than the sum of its proper divisors (2341155120).

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

1054198992 is a wasteful number, since it uses less digits than its factorization.

1054198992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285256 (or 285250 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The square root of 1054198992 is about 32468.4306981412. The cubic root of 1054198992 is about 1017.7494246526.

It can be divided in two parts, 105419 and 8992, that added together give a palindrome (114411).

The spelling of 1054198992 in words is "one billion, fifty-four million, one hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 285227 570454 855681 1140908 1711362 1996589 2281816 3137497 3422724 3993178 4563632 5989767 6274994 6845448 7986356 9412491 11979534 12549988 13690896 15972712 18824982 21962479 23959068 25099976 31945424 37649964 43924958 47918136 50199952 65887437 75299928 87849916 95836272 131774874 150599856 175699832 263549748 351399664 527099496 1054198992