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42374028 = 22319375023
BaseRepresentation
bin1010000110100…
…1001110001100
32221201211020110
42201221032030
541321432103
64112120020
71023113304
oct241511614
987654213
1042374028
1121a12264
1212236010
138a182b8
1458b0604
153ac0403
hex286938c

42374028 has 48 divisors (see below), whose sum is σ = 106910720. Its totient is φ = 13017024.

The previous prime is 42374023. The next prime is 42374029. The reversal of 42374028 is 82047324.

It is a junction number, because it is equal to n+sod(n) for n = 42373986 and 42374004.

It is not an unprimeable number, because it can be changed into a prime (42374021) 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, 5925 + ... + 10947.

Almost surely, 242374028 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 42374028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53455360).

42374028 is an abundant number, since it is smaller than the sum of its proper divisors (64536692).

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

42374028 is a wasteful number, since it uses less digits than its factorization.

42374028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42374028 is about 6509.5336238474. The cubic root of 42374028 is about 348.6314667639.

The spelling of 42374028 in words is "forty-two million, three hundred seventy-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 5023 8436 10046 15069 20092 30138 60276 95437 185851 190874 286311 371702 381748 557553 572622 743404 1115106 1145244 2230212 3531169 7062338 10593507 14124676 21187014 42374028