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42872704 = 27759811
BaseRepresentation
bin1010001110001…
…0111110000000
32222200011021221
42203202332000
541433411304
64130524424
71030261210
oct243427600
988604257
1042872704
1122222996
1212436714
138b61284
1459a0240
153b6d054
hex28e2f80

42872704 has 64 divisors (see below), whose sum is σ = 99388800. Its totient is φ = 18040320.

The previous prime is 42872671. The next prime is 42872717. The reversal of 42872704 is 40727824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42872704.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 52459 + ... + 53269.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 242872704 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 42872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49694400).

42872704 is an abundant number, since it is smaller than the sum of its proper divisors (56516096).

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

42872704 is an equidigital number, since it uses as much as digits as its factorization.

42872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 42872704 is about 6547.7251011325. The cubic root of 42872704 is about 349.9937522694.

The spelling of 42872704 in words is "forty-two million, eight hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 811 826 896 944 1622 1652 1888 3244 3304 3776 5677 6488 6608 7552 11354 12976 13216 22708 25952 26432 45416 47849 51904 52864 90832 95698 103808 181664 191396 334943 363328 382792 669886 726656 765584 1339772 1531168 2679544 3062336 5359088 6124672 10718176 21436352 42872704