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76514625 = 355311229
BaseRepresentation
bin1001000111110…
…00010101000001
312022222100100000
410203320111001
5124041432000
611331550213
71616235465
oct443702501
9168870300
1076514625
113a210630
122175b369
1312b0cb35
14a23a4a5
156ab6000
hex48f8541

76514625 has 96 divisors (see below), whose sum is σ = 156723840. Its totient is φ = 36936000.

The previous prime is 76514617. The next prime is 76514639. The reversal of 76514625 is 52641567.

It is a happy number.

It is not a de Polignac number, because 76514625 - 23 = 76514617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76514625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334011 + ... + 334239.

It is an arithmetic number, because the mean of its divisors is an integer number (1632540).

Almost surely, 276514625 is an apocalyptic number.

76514625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76514625 is an abundant number, since it is smaller than the sum of its proper divisors (80209215).

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

76514625 is a wasteful number, since it uses less digits than its factorization.

76514625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 76514625 is about 8747.2638579158. The cubic root of 76514625 is about 424.5362877743.

The spelling of 76514625 in words is "seventy-six million, five hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 125 135 165 225 229 243 275 297 375 405 495 675 687 825 891 1125 1145 1215 1375 1485 2025 2061 2475 2519 2673 3375 3435 4125 4455 5725 6075 6183 7425 7557 10125 10305 12375 12595 13365 17175 18549 22275 22671 28625 30375 30915 37125 37785 51525 55647 62975 66825 68013 85875 92745 111375 113355 154575 188925 204039 257625 278235 314875 334125 340065 463725 566775 612117 772875 944625 1020195 1391175 1700325 2318625 2833875 3060585 5100975 6955875 8501625 15302925 25504875 76514625