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996046975 = 5271119113241
BaseRepresentation
bin111011010111100…
…111100001111111
32120102020102120201
4323113213201333
54014442000400
6242500424331
733453155020
oct7327474177
92512212521
10996046975
11471273920
122396a80a7
1312b484b11
14963dcc47
155c6a006a
hex3b5e787f

996046975 has 96 divisors (see below), whose sum is σ = 1642037760. Its totient is φ = 580608000.

The previous prime is 996046921. The next prime is 996047009. The reversal of 996046975 is 579640699.

It is not a de Polignac number, because 996046975 - 211 = 996044927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4132855 + ... + 4133095.

It is an arithmetic number, because the mean of its divisors is an integer number (17104560).

Almost surely, 2996046975 is an apocalyptic number.

996046975 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

996046975 is the 16870-th nonagonal number.

996046975 is a deficient number, since it is larger than the sum of its proper divisors (645990785).

996046975 is a wasteful number, since it uses less digits than its factorization.

996046975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The square root of 996046975 is about 31560.2118972608. The cubic root of 996046975 is about 998.6805849095.

The spelling of 996046975 in words is "nine hundred ninety-six million, forty-six thousand, nine hundred seventy-five".

Divisors: 1 5 7 11 19 25 35 55 77 95 113 133 175 209 241 275 385 475 565 665 791 1045 1205 1243 1463 1687 1925 2147 2651 2825 3325 3955 4579 5225 6025 6215 7315 8435 8701 10735 13255 15029 18557 19775 22895 23617 27233 31075 32053 36575 42175 43505 50369 53675 66275 75145 92785 114475 118085 136165 160265 165319 190631 217525 251845 299563 352583 375725 463925 517427 590425 680825 801325 826595 953155 1259225 1497815 1762915 2096941 2587135 3621989 4132975 4765775 5691697 7489075 8814575 10484705 12935675 18109945 28458485 39841879 52423525 90549725 142292425 199209395 996046975