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42465048 = 23317293797
BaseRepresentation
bin1010000111111…
…1011100011000
32221220110002120
42201333130120
541332340143
64114101240
71023642543
oct241773430
987813076
1042465048
1121a7468a
121227a820
138a4a862
1458d585a
153adc383
hex287f718

42465048 has 128 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 12386304.

The previous prime is 42465047. The next prime is 42465067. The reversal of 42465048 is 84056424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42465047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437736 + ... + 437832.

Almost surely, 242465048 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 42465048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60328800).

42465048 is an abundant number, since it is smaller than the sum of its proper divisors (78192552).

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

42465048 is a wasteful number, since it uses less digits than its factorization.

42465048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42465048 is about 6516.5211577958. The cubic root of 42465048 is about 348.8809099889.

The spelling of 42465048 in words is "forty-two million, four hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 37 51 58 68 74 87 97 102 111 116 136 148 174 194 204 222 232 291 296 348 388 408 444 493 582 629 696 776 888 986 1073 1164 1258 1479 1649 1887 1972 2146 2328 2516 2813 2958 3219 3298 3589 3774 3944 4292 4947 5032 5626 5916 6438 6596 7178 7548 8439 8584 9894 10767 11252 11832 12876 13192 14356 15096 16878 18241 19788 21534 22504 25752 28712 33756 36482 39576 43068 47821 54723 61013 67512 72964 86136 95642 104081 109446 122026 143463 145928 183039 191284 208162 218892 244052 286926 312243 366078 382568 416324 437784 488104 573852 624486 732156 832648 1147704 1248972 1464312 1769377 2497944 3538754 5308131 7077508 10616262 14155016 21232524 42465048