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42044688 = 2432753787
BaseRepresentation
bin1010000001100…
…0110100010000
32221010002110200
42200120310100
541230412223
64101055200
71020242160
oct240306420
987102420
1042044688
1121807884
12120b7500
13893141a
1458265a0
153a57a43
hex2818d10

42044688 has 120 divisors (see below), whose sum is σ = 137187648. Its totient is φ = 11771136.

The previous prime is 42044659. The next prime is 42044699. The reversal of 42044688 is 88644024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53031 + ... + 53817.

Almost surely, 242044688 is an apocalyptic number.

42044688 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 42044688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68593824).

42044688 is an abundant number, since it is smaller than the sum of its proper divisors (95142960).

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

42044688 is a wasteful number, since it uses less digits than its factorization.

42044688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

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

The square root of 42044688 is about 6484.1875358444. The cubic root of 42044688 is about 347.7259038684.

The spelling of 42044688 in words is "forty-two million, forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 787 848 954 1008 1113 1272 1484 1574 1908 2226 2361 2544 2968 3148 3339 3816 4452 4722 5509 5936 6296 6678 7083 7632 8904 9444 11018 12592 13356 14166 16527 17808 18888 22036 26712 28332 33054 37776 41711 44072 49581 53424 56664 66108 83422 88144 99162 113328 125133 132216 166844 198324 250266 264432 291977 333688 375399 396648 500532 583954 667376 750798 793296 875931 1001064 1167908 1501596 1751862 2002128 2335816 2627793 3003192 3503724 4671632 5255586 6006384 7007448 10511172 14014896 21022344 42044688