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42789852 = 22327277613
BaseRepresentation
bin1010001100111…
…0101111011100
32222111221122100
42203032233130
541423233402
64125045100
71026464520
oct243165734
988457570
1042789852
1122176716
12123b6790
138b32651
14597bd80
153b5371c
hex28cebdc

42789852 has 72 divisors (see below), whose sum is σ = 124263776. Its totient is φ = 12161664.

The previous prime is 42789829. The next prime is 42789863. The reversal of 42789852 is 25898724.

It is a junction number, because it is equal to n+sod(n) for n = 42789798 and 42789807.

It is a congruent number.

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, 69498 + ... + 70110.

Almost surely, 242789852 is an apocalyptic number.

42789852 is a gapful number since it is divisible by the number (42) 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 42789852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62131888).

42789852 is an abundant number, since it is smaller than the sum of its proper divisors (81473924).

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

42789852 is a wasteful number, since it uses less digits than its factorization.

42789852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 902 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 42789852 is about 6541.3952640090. The cubic root of 42789852 is about 349.7681512134.

The spelling of 42789852 in words is "forty-two million, seven hundred eighty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 613 831 1108 1226 1662 1839 1939 2452 2493 3324 3678 3878 4291 4986 5517 5817 7356 7756 8582 9972 11034 11634 12873 17164 17451 22068 23268 25746 34902 38619 51492 69804 77238 154476 169801 339602 509403 679204 1018806 1188607 1528209 2037612 2377214 3056418 3565821 4754428 6112836 7131642 10697463 14263284 21394926 42789852