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42654465 = 335745137
BaseRepresentation
bin1010001010110…
…1101100000001
32222021001221000
42202231230001
541404420330
64122122213
71025362020
oct242555401
988231830
1042654465
1122093a27
1212350369
138ab5b39
1459448b7
153b28560
hex28adb01

42654465 has 32 divisors (see below), whose sum is σ = 86664960. Its totient is φ = 19498752.

The previous prime is 42654461. The next prime is 42654467. The reversal of 42654465 is 56445624.

It is not a de Polignac number, because 42654465 - 22 = 42654461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42654461) 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 31 ways as a sum of consecutive naturals, for example, 21624 + ... + 23513.

It is an arithmetic number, because the mean of its divisors is an integer number (2708280).

Almost surely, 242654465 is an apocalyptic number.

42654465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42654465 is an abundant number, since it is smaller than the sum of its proper divisors (44010495).

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

42654465 is a wasteful number, since it uses less digits than its factorization.

42654465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45158 (or 45152 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 42654465 is about 6531.0385850950. The cubic root of 42654465 is about 349.3988729136.

The spelling of 42654465 in words is "forty-two million, six hundred fifty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 45137 135411 225685 315959 406233 677055 947877 1218699 1579795 2031165 2843631 4739385 6093495 8530893 14218155 42654465