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42342564 = 223111916883
BaseRepresentation
bin1010000110000…
…1100010100100
32221200020002010
42201201202210
541314430224
64111314220
71022622465
oct241414244
987606063
1042342564
11219a0660
121221b970
138a06b94
1458a2d6c
153ab5e29
hex28618a4

42342564 has 48 divisors (see below), whose sum is σ = 113460480. Its totient is φ = 12155040.

The previous prime is 42342539. The next prime is 42342577. The reversal of 42342564 is 46524324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (2363760).

Almost surely, 242342564 is an apocalyptic number.

42342564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42342564 is an abundant number, since it is smaller than the sum of its proper divisors (71117916).

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

42342564 is a wasteful number, since it uses less digits than its factorization.

42342564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16918 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 42342564 is about 6507.1164120523. The cubic root of 42342564 is about 348.5451555875.

Adding to 42342564 its reverse (46524324), we get a palindrome (88866888).

The spelling of 42342564 in words is "forty-two million, three hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 16883 33766 50649 67532 101298 185713 202596 320777 371426 557139 641554 742852 962331 1114278 1283108 1924662 2228556 3528547 3849324 7057094 10585641 14114188 21171282 42342564