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42440688 = 24322910163
BaseRepresentation
bin1010000111100…
…1011111110000
32221212012200100
42201321133300
541331100223
64113352400
71023511533
oct241713760
987765610
1042440688
1121a58354
1212268700
138a3c744
1458caa1a
153ad5043
hex28797f0

42440688 has 60 divisors (see below), whose sum is σ = 122882760. Its totient is φ = 13657728.

The previous prime is 42440669. The next prime is 42440693. The reversal of 42440688 is 88604424.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906 + ... + 9257.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 242440688 is an apocalyptic number.

42440688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

42440688 is an abundant number, since it is smaller than the sum of its proper divisors (80442072).

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

42440688 is a wasteful number, since it uses less digits than its factorization.

42440688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42440688 is about 6514.6517942251. The cubic root of 42440688 is about 348.8141855887.

The spelling of 42440688 in words is "forty-two million, four hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 10163 20326 30489 40652 60978 81304 91467 121956 162608 182934 243912 294727 365868 487824 589454 731736 884181 1178908 1463472 1768362 2357816 2652543 3536724 4715632 5305086 7073448 10610172 14146896 21220344 42440688