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42455970 = 23251727749
BaseRepresentation
bin1010000111110…
…1001110100010
32221212222122100
42201331032202
541332042340
64113551230
71023604224
oct241751642
987788570
1042455970
1121a68887
1212275516
138a4669b
1458d2414
153ad9830
hex287d3a2

42455970 has 48 divisors (see below), whose sum is σ = 116883000. Its totient is φ = 10655232.

The previous prime is 42455969. The next prime is 42455977. The reversal of 42455970 is 7955424.

42455970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34821801 + 7634169 = 5901^2 + 2763^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42455977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12345 + ... + 15404.

Almost surely, 242455970 is an apocalyptic number.

42455970 is an abundant number, since it is smaller than the sum of its proper divisors (74427030).

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

42455970 is a wasteful number, since it uses less digits than its factorization.

42455970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27779 (or 27776 counting only the distinct ones).

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

The square root of 42455970 is about 6515.8245832742. The cubic root of 42455970 is about 348.8560474509.

The spelling of 42455970 in words is "forty-two million, four hundred fifty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 27749 55498 83247 138745 166494 249741 277490 416235 471733 499482 832470 943466 1248705 1415199 2358665 2497410 2830398 4245597 4717330 7075995 8491194 14151990 21227985 42455970