[go: up one dir, main page]

Search a number
-
+
42865770 = 2352921699
BaseRepresentation
bin1010001110000…
…1010001101010
32222122210210010
42203201101222
541433201040
64130432350
71030232043
oct243412152
988583703
1042865770
1122218762
12124326b6
138b5b07c
14599b8ca
153b6ae80
hex28e146a

42865770 has 48 divisors (see below), whose sum is σ = 106610400. Its totient is φ = 11030208.

The previous prime is 42865769. The next prime is 42865807. The reversal of 42865770 is 7756824.

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 23 ways as a sum of consecutive naturals, for example, 24381 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (2221050).

Almost surely, 242865770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42865770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53305200).

42865770 is an abundant number, since it is smaller than the sum of its proper divisors (63744630).

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

42865770 is a wasteful number, since it uses less digits than its factorization.

42865770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 42865770 is about 6547.1955828431. The cubic root of 42865770 is about 349.9748825513.

The spelling of 42865770 in words is "forty-two million, eight hundred sixty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 841 870 1682 1699 2523 3398 4205 5046 5097 8410 8495 10194 12615 16990 25230 25485 49271 50970 98542 147813 246355 295626 492710 739065 1428859 1478130 2857718 4286577 7144295 8573154 14288590 21432885 42865770