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42174912 = 2631361277
BaseRepresentation
bin1010000011100…
…0100111000000
32221100201002210
42200320213000
541244044122
64103542120
71021323633
oct240704700
987321083
1042174912
11218966aa
121215a940
138978790
14585bc1a
153a8140c
hex28389c0

42174912 has 112 divisors (see below), whose sum is σ = 122582432. Its totient is φ = 12718080.

The previous prime is 42174907. The next prime is 42174941. The reversal of 42174912 is 21947124.

It is a self number, because there is not a number n which added to its sum of digits gives 42174912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152118 + ... + 152394.

It is an arithmetic number, because the mean of its divisors is an integer number (1094486).

Almost surely, 242174912 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 42174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61291216).

42174912 is an abundant number, since it is smaller than the sum of its proper divisors (80407520).

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

42174912 is a wasteful number, since it uses less digits than its factorization.

42174912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 42174912 is about 6494.2214313958. The cubic root of 42174912 is about 348.0845348869.

The spelling of 42174912 in words is "forty-two million, one hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 277 312 366 416 488 554 624 732 793 831 832 976 1108 1248 1464 1586 1662 1952 2216 2379 2496 2928 3172 3324 3601 3904 4432 4758 5856 6344 6648 7202 8864 9516 10803 11712 12688 13296 14404 16897 17728 19032 21606 25376 26592 28808 33794 38064 43212 50691 50752 53184 57616 67588 76128 86424 101382 115232 135176 152256 172848 202764 219661 230464 270352 345696 405528 439322 540704 658983 691392 811056 878644 1081408 1317966 1622112 1757288 2635932 3244224 3514576 5271864 7029152 10543728 14058304 21087456 42174912