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42854448 = 2437139811
BaseRepresentation
bin1010001101111…
…0100000110000
32222122020020210
42203132200300
541432320243
64130304120
71030154040
oct243364060
988566223
1042854448
11222101aa
1212428040
138b55b80
145997720
153b67933
hex28de830

42854448 has 80 divisors (see below), whose sum is σ = 136269056. Its totient is φ = 11301120.

The previous prime is 42854429. The next prime is 42854453. The reversal of 42854448 is 84445824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 538 + ... + 9273.

Almost surely, 242854448 is an apocalyptic number.

42854448 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 42854448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68134528).

42854448 is an abundant number, since it is smaller than the sum of its proper divisors (93414608).

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

42854448 is a wasteful number, since it uses less digits than its factorization.

42854448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9836 counting only the distinct ones).

The product of its digits is 163840, while the sum is 39.

The square root of 42854448 is about 6546.3308807301. The cubic root of 42854448 is about 349.9440672525.

The spelling of 42854448 in words is "forty-two million, eight hundred fifty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 9811 19622 29433 39244 58866 68677 78488 117732 127543 137354 156976 206031 235464 255086 274708 382629 412062 470928 510172 549416 765258 824124 892801 1020344 1098832 1530516 1648248 1785602 2040688 2678403 3061032 3296496 3571204 5356806 6122064 7142408 10713612 14284816 21427224 42854448