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42134628 = 223191811021
BaseRepresentation
bin1010000010111…
…0110001100100
32221021122211210
42200232301210
541241302003
64103031420
71021065324
oct240566144
987248753
1042134628
1121869408
121213b570
138963343
14584b284
153a74503
hex282ec64

42134628 has 48 divisors (see below), whose sum is σ = 104162240. Its totient is φ = 13219200.

The previous prime is 42134627. The next prime is 42134633. The reversal of 42134628 is 82643124.

It is a junction number, because it is equal to n+sod(n) for n = 42134595 and 42134604.

It is not an unprimeable number, because it can be changed into a prime (42134621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40758 + ... + 41778.

Almost surely, 242134628 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 42134628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52081120).

42134628 is an abundant number, since it is smaller than the sum of its proper divisors (62027612).

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

42134628 is a wasteful number, since it uses less digits than its factorization.

42134628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1226 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42134628 is about 6491.1191639039. The cubic root of 42134628 is about 347.9736735270.

The spelling of 42134628 in words is "forty-two million, one hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 543 724 1021 1086 2042 2172 3063 3439 4084 6126 6878 10317 12252 13756 19399 20634 38798 41268 58197 77596 116394 184801 232788 369602 554403 739204 1108806 2217612 3511219 7022438 10533657 14044876 21067314 42134628