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42861744 = 2433472111
BaseRepresentation
bin1010001110000…
…0010010110000
32222122121021000
42203200102300
541433033434
64130402000
71030214232
oct243402260
988577230
1042861744
1122215732
1212430300
138b592a3
14599a252
153b69b99
hex28e04b0

42861744 has 80 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 13976640.

The previous prime is 42861733. The next prime is 42861751. The reversal of 42861744 is 44716824.

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

It is a junction number, because it is equal to n+sod(n) for n = 42861699 and 42861708.

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, 19249 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 242861744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42861744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

42861744 is an abundant number, since it is smaller than the sum of its proper divisors (82844496).

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

42861744 is a wasteful number, since it uses less digits than its factorization.

42861744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42861744 is about 6546.8881157387. Note that the first 3 decimals coincide. The cubic root of 42861744 is about 349.9639255336.

The spelling of 42861744 in words is "forty-two million, eight hundred sixty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2111 2256 2538 3384 4222 5076 6333 6768 8444 10152 12666 16888 18999 20304 25332 33776 37998 50664 56997 75996 99217 101328 113994 151992 198434 227988 297651 303984 396868 455976 595302 793736 892953 911952 1190604 1587472 1785906 2381208 2678859 3571812 4762416 5357718 7143624 10715436 14287248 21430872 42861744