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42071392 = 2511472543
BaseRepresentation
bin1010000001111…
…1010101100000
32221011110002201
42200133111200
541232241032
64101422544
71020413056
oct240372540
987143081
1042071392
1121825950
121210aa54
13894061c
1458321d6
153a608e7
hex281f560

42071392 has 48 divisors (see below), whose sum is σ = 92316672. Its totient is φ = 18709120.

The previous prime is 42071389. The next prime is 42071399. The reversal of 42071392 is 29317024.

It is a self number, because there is not a number n which added to its sum of digits gives 42071392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42071399) 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 7 ways as a sum of consecutive naturals, for example, 15273 + ... + 17815.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 242071392 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 42071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46158336).

42071392 is an abundant number, since it is smaller than the sum of its proper divisors (50245280).

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

42071392 is a wasteful number, since it uses less digits than its factorization.

42071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 42071392 is about 6486.2463721323. The cubic root of 42071392 is about 347.7995057730.

The spelling of 42071392 in words is "forty-two million, seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 2543 4136 5086 8272 10172 16544 20344 27973 40688 55946 81376 111892 119521 223784 239042 447568 478084 895136 956168 1314731 1912336 2629462 3824672 5258924 10517848 21035696 42071392