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783142425 = 34521371419
BaseRepresentation
bin101110101011011…
…100111000011001
32000120121202110000
4232223130320121
53100441024200
6205413243213
725256413032
oct5653347031
92016552400
10783142425
1137207754a
1219a333509
13c632cbb0
147601ba89
1548b47300
hex2eadce19

783142425 has 120 divisors (see below), whose sum is σ = 1588023360. Its totient is φ = 379209600.

The previous prime is 783142421. The next prime is 783142427. The reversal of 783142425 is 524241387.

It is a happy number.

It is not a de Polignac number, because 783142425 - 22 = 783142421 is a prime.

It is a super-2 number, since 2×7831424252 = 1226624115669761250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 783142425.

It is not an unprimeable number, because it can be changed into a prime (783142421) 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 119 ways as a sum of consecutive naturals, for example, 1868866 + ... + 1869284.

It is an arithmetic number, because the mean of its divisors is an integer number (13233528).

Almost surely, 2783142425 is an apocalyptic number.

783142425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

783142425 is an abundant number, since it is smaller than the sum of its proper divisors (804880935).

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

783142425 is a wasteful number, since it uses less digits than its factorization.

783142425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 783142425 is about 27984.6819706782. The cubic root of 783142425 is about 921.7509287013.

The spelling of 783142425 in words is "seven hundred eighty-three million, one hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 71 75 81 117 135 195 213 225 325 351 355 405 419 585 639 675 923 975 1053 1065 1257 1755 1775 1917 2025 2095 2769 2925 3195 3771 4615 5265 5325 5447 5751 6285 8307 8775 9585 10475 11313 13845 15975 16341 18855 23075 24921 26325 27235 28755 29749 31425 33939 41535 47925 49023 56565 69225 74763 81705 89247 94275 124605 136175 143775 147069 148745 169695 207675 245115 267741 282825 373815 386737 408525 441207 446235 623025 735345 743725 803223 848475 1160211 1225575 1338705 1869075 1933685 2206035 2231175 2409669 3480633 3676725 4016115 5801055 6693525 9668425 10441899 11030175 12048345 17403165 20080575 29005275 31325697 52209495 60241725 87015825 156628485 261047475 783142425