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42690368 = 267213613
BaseRepresentation
bin1010001011011…
…0011101000000
32222022220011202
42202312131000
541412042433
64123000332
71025601500
oct242663500
988286152
1042690368
11221089a6
12123690a8
138ac9296
145953a00
153b33ee8
hex28b6740

42690368 has 42 divisors (see below), whose sum is σ = 98551746. Its totient is φ = 18294528.

The previous prime is 42690367. The next prime is 42690413. The reversal of 42690368 is 86309624.

It can be written as a sum of positive squares in only one way, i.e., 21603904 + 21086464 = 4648^2 + 4592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42690367) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3671 + ... + 9942.

Almost surely, 242690368 is an apocalyptic number.

It is an amenable number.

42690368 is an abundant number, since it is smaller than the sum of its proper divisors (55861378).

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

42690368 is a wasteful number, since it uses less digits than its factorization.

42690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13639 (or 13622 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 42690368 is about 6533.7866509399. The cubic root of 42690368 is about 349.4968771104.

The spelling of 42690368 in words is "forty-two million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 13613 27226 54452 95291 108904 190582 217808 381164 435616 667037 762328 871232 1334074 1524656 2668148 3049312 5336296 6098624 10672592 21345184 42690368