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42125778 = 2334153359
BaseRepresentation
bin1010000010110…
…0100111010010
32221021012201000
42200230213102
541241011103
64102522430
71021030452
oct240544722
987235630
1042125778
11218627a2
1212136416
13895c2c6
145847d62
153a71aa3
hex282c9d2

42125778 has 64 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 13403520.

The previous prime is 42125761. The next prime is 42125789. The reversal of 42125778 is 87752124.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117163 + ... + 117521.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 242125778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42125778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42125778 is an abundant number, since it is smaller than the sum of its proper divisors (55851822).

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

42125778 is a wasteful number, since it uses less digits than its factorization.

42125778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42125778 is about 6490.4374274774. The cubic root of 42125778 is about 347.9493089066.

The spelling of 42125778 in words is "forty-two million, one hundred twenty-five thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 123 159 246 318 359 369 477 718 738 954 1077 1107 1431 2154 2173 2214 2862 3231 4346 6462 6519 9693 13038 14719 19027 19386 19557 29438 38054 39114 44157 57081 58671 88314 114162 117342 132471 171243 264942 342486 397413 513729 780107 794826 1027458 1560214 2340321 4680642 7020963 14041926 21062889 42125778