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42588340 = 22541167311
BaseRepresentation
bin1010001001110…
…1100010110100
32222010201012221
42202131202310
541400311330
64120452124
71024665154
oct242354264
988121187
1042588340
1122049283
121231a044
138a91a02
145928764
153b13b7a
hex289d8b4

42588340 has 48 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 16467200.

The previous prime is 42588331. The next prime is 42588353. The reversal of 42588340 is 4388524.

It is a junction number, because it is equal to n+sod(n) for n = 42588296 and 42588305.

It is a congruent number.

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, 136785 + ... + 137095.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 242588340 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 42588340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

42588340 is an abundant number, since it is smaller than the sum of its proper divisors (49873484).

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

42588340 is a wasteful number, since it uses less digits than its factorization.

42588340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 42588340 is about 6525.9742567681. The cubic root of 42588340 is about 349.2182278960.

The spelling of 42588340 in words is "forty-two million, five hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 167 205 311 334 410 622 668 820 835 1244 1555 1670 3110 3340 6220 6847 12751 13694 25502 27388 34235 51004 51937 63755 68470 103874 127510 136940 207748 255020 259685 519370 1038740 2129417 4258834 8517668 10647085 21294170 42588340