[go: up one dir, main page]

Search a number
-
+
42846030 = 2335315119
BaseRepresentation
bin1010001101110…
…0011101001110
32222121210201000
42203130131032
541432033110
64130201130
71030120353
oct243343516
988553630
1042846030
1122204947
12124231a6
138b520a6
14599462a
153b651c0
hex28dc74e

42846030 has 64 divisors (see below), whose sum is σ = 117964800. Its totient is φ = 11054880.

The previous prime is 42846019. The next prime is 42846053. The reversal of 42846030 is 3064824.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42845985 and 42846003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5811 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (1843200).

Almost surely, 242846030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42846030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58982400).

42846030 is an abundant number, since it is smaller than the sum of its proper divisors (75118770).

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

42846030 is a wasteful number, since it uses less digits than its factorization.

42846030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42846030 is about 6545.6878935678. The cubic root of 42846030 is about 349.9211523066.

The spelling of 42846030 in words is "forty-two million, eight hundred forty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 5119 8370 10238 15357 25595 30714 46071 51190 76785 92142 138213 153570 158689 230355 276426 317378 460710 476067 691065 793445 952134 1382130 1428201 1586890 2380335 2856402 4284603 4760670 7141005 8569206 14282010 21423015 42846030