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42125380 = 22511436173
BaseRepresentation
bin1010000010110…
…0100001000100
32221021012011021
42200230201010
541241003010
64102520524
71021026343
oct240544104
987235137
1042125380
1121862470
1212136144
13895c07b
145847b5a
153a718da
hex282c844

42125380 has 96 divisors (see below), whose sum is σ = 101743488. Its totient is φ = 14515200.

The previous prime is 42125359. The next prime is 42125387. The reversal of 42125380 is 8352124.

It is not an unprimeable number, because it can be changed into a prime (42125387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577024 + ... + 577096.

It is an arithmetic number, because the mean of its divisors is an integer number (1059828).

Almost surely, 242125380 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 42125380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50871744).

42125380 is an abundant number, since it is smaller than the sum of its proper divisors (59618108).

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

42125380 is a wasteful number, since it uses less digits than its factorization.

42125380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 42125380 is about 6490.4067669138. The cubic root of 42125380 is about 347.9482131068.

The spelling of 42125380 in words is "forty-two million, one hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 61 73 86 110 122 146 172 215 220 244 292 305 365 430 473 610 671 730 803 860 946 1220 1342 1460 1606 1892 2365 2623 2684 3139 3212 3355 4015 4453 4730 5246 6278 6710 8030 8906 9460 10492 12556 13115 13420 15695 16060 17812 22265 26230 28853 31390 34529 44530 48983 52460 57706 62780 69058 89060 97966 115412 138116 144265 172645 191479 195932 244915 288530 345290 382958 489830 577060 690580 765916 957395 979660 1914790 2106269 3829580 4212538 8425076 10531345 21062690 42125380