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42865632 = 253349613
BaseRepresentation
bin1010001110000…
…1001111100000
32222122210121000
42203201033200
541433200012
64130432000
71030231455
oct243411740
988583530
1042865632
1122218647
1212432600
138b5aca4
14599b82c
153b6addc
hex28e13e0

42865632 has 48 divisors (see below), whose sum is σ = 125027280. Its totient is φ = 14288256.

The previous prime is 42865621. The next prime is 42865639. The reversal of 42865632 is 23656824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42865639) 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 7 ways as a sum of consecutive naturals, for example, 23943 + ... + 25670.

It is an arithmetic number, because the mean of its divisors is an integer number (2604735).

Almost surely, 242865632 is an apocalyptic number.

It is an amenable number.

42865632 is an abundant number, since it is smaller than the sum of its proper divisors (82161648).

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

42865632 is a wasteful number, since it uses less digits than its factorization.

42865632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49632 (or 49618 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42865632 is about 6547.1850439712. The cubic root of 42865632 is about 349.9745069867.

The spelling of 42865632 in words is "forty-two million, eight hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 49613 99226 148839 198452 297678 396904 446517 595356 793808 893034 1190712 1339551 1587616 1786068 2381424 2679102 3572136 4762848 5358204 7144272 10716408 14288544 21432816 42865632