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42455168 = 2773967
BaseRepresentation
bin1010000111110…
…1000010000000
32221212221112122
42201331002000
541332031133
64113543412
71023602000
oct241750200
987787478
1042455168
1121a68218
1212274b68
138a46202
1458d2000
153ad9498
hex287d080

42455168 has 64 divisors (see below), whose sum is σ = 98736000. Its totient is φ = 18176256.

The previous prime is 42455123. The next prime is 42455183. The reversal of 42455168 is 86155424.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43421 + ... + 44387.

It is an arithmetic number, because the mean of its divisors is an integer number (1542750).

Almost surely, 242455168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368000).

42455168 is an abundant number, since it is smaller than the sum of its proper divisors (56280832).

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

42455168 is an frugal number, since it uses more digits than its factorization.

42455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 976 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 42455168 is about 6515.7630405042. The cubic root of 42455168 is about 348.8538507884.

The spelling of 42455168 in words is "forty-two million, four hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 967 1372 1568 1934 2744 3136 3868 5488 6272 6769 7736 10976 13538 15472 21952 27076 30944 43904 47383 54152 61888 94766 108304 123776 189532 216608 331681 379064 433216 663362 758128 866432 1326724 1516256 2653448 3032512 5306896 6065024 10613792 21227584 42455168