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1024875225 = 32521129109131
BaseRepresentation
bin111101000101100…
…101101011011001
32122102111001111200
4331011211223121
54044332001400
6245410344413
734253203263
oct7505455331
92572431450
101024875225
11486573a20
1224728b109
1313443965a
149a184b33
155ee96b00
hex3d165ad9

1024875225 has 144 divisors (see below), whose sum is σ = 2106561600. Its totient is φ = 471744000.

The previous prime is 1024875199. The next prime is 1024875323. The reversal of 1024875225 is 5225784201.

It is a happy number.

1024875225 is a `hidden beast` number, since 102 + 487 + 52 + 25 = 666.

It is not a de Polignac number, because 1024875225 - 29 = 1024874713 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1024875225.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7823410 + ... + 7823540.

It is an arithmetic number, because the mean of its divisors is an integer number (14628900).

Almost surely, 21024875225 is an apocalyptic number.

1024875225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1024875225 is an abundant number, since it is smaller than the sum of its proper divisors (1081686375).

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

1024875225 is a wasteful number, since it uses less digits than its factorization.

1024875225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1024875225 is about 32013.6724697433. The cubic root of 1024875225 is about 1008.2239233488.

The spelling of 1024875225 in words is "one billion, twenty-four million, eight hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 109 131 145 165 225 261 275 319 327 393 435 495 545 655 725 825 957 981 1179 1199 1305 1441 1595 1635 1965 2175 2475 2725 2871 3161 3275 3597 3799 4323 4785 4905 5895 5995 6525 7205 7975 8175 9483 9825 10791 11397 12969 14279 14355 15805 17985 18995 21615 23925 24525 28449 29475 29975 34191 34771 36025 41789 42837 47415 53955 56985 64845 71395 71775 79025 89925 94975 104313 108075 125367 128511 142245 157069 170955 173855 208945 214185 237075 269775 284925 312939 324225 356975 376101 414091 471207 521565 626835 642555 711225 785345 854775 869275 1044725 1070925 1242273 1413621 1564695 1880505 2070455 2356035 2607825 3134175 3212775 3726819 3926725 4555001 6211365 7068105 7823475 9402525 10352275 11780175 13665003 18634095 22775005 31056825 35340525 40995009 68325015 93170475 113875025 204975045 341625075 1024875225