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3426852825 = 355211192699
BaseRepresentation
bin1100110001000001…
…1001111111011001
322211211020011100000
43030100121333121
524004233242300
61324013203213
7150630524364
oct31420317731
98754204300
103426852825
1114a9407280
127b7790509
13427c68486
1424719b0db
15150cadc00
hexcc419fd9

3426852825 has 144 divisors (see below), whose sum is σ = 7312032000. Its totient is φ = 1573473600.

The previous prime is 3426852799. The next prime is 3426852827. The reversal of 3426852825 is 5282586243.

3426852825 is a `hidden beast` number, since 3 + 42 + 68 + 528 + 25 = 666.

It is not a de Polignac number, because 3426852825 - 27 = 3426852697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3426852827) 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 143 ways as a sum of consecutive naturals, for example, 1268326 + ... + 1271024.

It is an arithmetic number, because the mean of its divisors is an integer number (50778000).

Almost surely, 23426852825 is an apocalyptic number.

It is an amenable number.

3426852825 is an abundant number, since it is smaller than the sum of its proper divisors (3885179175).

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

3426852825 is a wasteful number, since it uses less digits than its factorization.

3426852825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2737 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 3426852825 is about 58539.3271655901. The cubic root of 3426852825 is about 1507.6428913339.

The spelling of 3426852825 in words is "three billion, four hundred twenty-six million, eight hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 81 95 99 135 165 171 209 225 243 275 285 297 405 475 495 513 627 675 825 855 891 1045 1215 1425 1485 1539 1881 2025 2475 2565 2673 2699 3135 4275 4455 4617 5225 5643 6075 7425 7695 8097 9405 12825 13365 13495 15675 16929 22275 23085 24291 28215 29689 38475 40485 47025 50787 51281 66825 67475 72873 84645 89067 115425 121455 141075 148445 153843 202425 218619 253935 256405 267201 364365 423225 445335 461529 564091 607275 655857 742225 769215 801603 1093095 1269675 1282025 1336005 1384587 1692273 1821825 2226675 2307645 2404809 2820455 3279285 3846075 4008015 4153761 5076819 5465475 6680025 6922935 7214427 8461365 11538225 12024045 12461283 14102275 15230457 16396425 20040075 20768805 25384095 34614675 36072135 42306825 45691371 60120225 62306415 76152285 103844025 126920475 137074113 180360675 228456855 311532075 380761425 685370565 1142284275 3426852825