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1028325645 = 335293137229
BaseRepresentation
bin111101010010110…
…000000100001101
32122122222100121000
4331102300010031
54101222410040
6250012330513
734324423644
oct7522600415
92578870530
101028325645
11488510306
12248473a39
13135077019
149a80235b
1560429130
hex3d4b010d

1028325645 has 128 divisors (see below), whose sum is σ = 2013696000. Its totient is φ = 496419840.

The previous prime is 1028325629. The next prime is 1028325647. The reversal of 1028325645 is 5465238201.

1028325645 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 3 + 2 + 5 + 645 = 666.

It is not a de Polignac number, because 1028325645 - 24 = 1028325629 is a prime.

It is a super-3 number, since 3×10283256453 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028325647) 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 127 ways as a sum of consecutive naturals, for example, 4490391 + ... + 4490619.

It is an arithmetic number, because the mean of its divisors is an integer number (15732000).

Almost surely, 21028325645 is an apocalyptic number.

1028325645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1028325645 is a deficient number, since it is larger than the sum of its proper divisors (985370355).

1028325645 is a wasteful number, since it uses less digits than its factorization.

1028325645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1028325645 is about 32067.5169759057. The cubic root of 1028325645 is about 1009.3541094764.

The spelling of 1028325645 in words is "one billion, twenty-eight million, three hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 29 31 37 45 87 93 111 135 145 155 185 229 261 279 333 435 465 555 687 783 837 899 999 1073 1145 1147 1305 1395 1665 2061 2697 3219 3435 3441 3915 4185 4495 4995 5365 5735 6183 6641 7099 8091 8473 9657 10305 10323 13485 16095 17205 19923 21297 24273 25419 28971 30915 30969 33205 33263 35495 40455 42365 48285 51615 59769 63891 76257 99615 99789 106485 121365 127095 144855 154845 166315 179307 191673 205871 228771 245717 262663 298845 299367 319455 381285 498945 617613 737151 787989 896535 898101 958365 1029355 1143855 1228585 1313315 1496835 1852839 2211453 2363967 3088065 3685755 3939945 4490505 5558517 6634359 7091901 7617227 9264195 11057265 11819835 22851681 27792585 33171795 35459505 38086135 68555043 114258405 205665129 342775215 1028325645