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42012640 = 255972707
BaseRepresentation
bin1010000001000…
…0111111100000
32221001110111201
42200100333200
541223401030
64100250544
71020046555
oct240207740
987043451
1042012640
112179579a
12120a0a54
13891c967
145818a2c
153a4d2ca
hex2810fe0

42012640 has 48 divisors (see below), whose sum is σ = 100315152. Its totient is φ = 16625664.

The previous prime is 42012637. The next prime is 42012647. The reversal of 42012640 is 4621024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14167 + ... + 16873.

It is an arithmetic number, because the mean of its divisors is an integer number (2089899).

Almost surely, 242012640 is an apocalyptic number.

42012640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50157576).

42012640 is an abundant number, since it is smaller than the sum of its proper divisors (58302512).

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

42012640 is a wasteful number, since it uses less digits than its factorization.

42012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42012640 is about 6481.7158222187. The cubic root of 42012640 is about 347.6375316076.

Adding to 42012640 its reverse (4621024), we get a palindrome (46633664).

The spelling of 42012640 in words is "forty-two million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 2707 3104 3880 5414 7760 10828 13535 15520 21656 27070 43312 54140 86624 108280 216560 262579 433120 525158 1050316 1312895 2100632 2625790 4201264 5251580 8402528 10503160 21006320 42012640