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42640521 = 3711297173
BaseRepresentation
bin1010001010101…
…0010010001001
32222020100210120
42202222102021
541403444041
64121533453
71025303250
oct242522211
988210716
1042640521
1122084500
1212344289
138aac6a1
14593d797
153b24366
hex28aa489

42640521 has 48 divisors (see below), whose sum is σ = 72573312. Its totient is φ = 21795840.

The previous prime is 42640517. The next prime is 42640553. The reversal of 42640521 is 12504624.

It is not a de Polignac number, because 42640521 - 22 = 42640517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42640491 and 42640500.

It is not an unprimeable number, because it can be changed into a prime (42640511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246391 + ... + 246563.

It is an arithmetic number, because the mean of its divisors is an integer number (1511944).

Almost surely, 242640521 is an apocalyptic number.

It is an amenable number.

42640521 is a deficient number, since it is larger than the sum of its proper divisors (29932791).

42640521 is a wasteful number, since it uses less digits than its factorization.

42640521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42640521 is about 6529.9709800274. The cubic root of 42640521 is about 349.3607952362.

It can be divided in two parts, 426405 and 21, that added together give a triangular number (426426 = T923).

The spelling of 42640521 in words is "forty-two million, six hundred forty thousand, five hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 97 121 173 231 291 363 519 679 847 1067 1211 1903 2037 2541 3201 3633 5709 7469 11737 13321 16781 20933 22407 35211 39963 50343 62799 82159 117467 146531 184591 246477 352401 439593 553773 1292137 2030501 3876411 6091503 14213507 42640521