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42050928 = 24317291777
BaseRepresentation
bin1010000001101…
…0010101110000
32221010102000210
42200122111300
541231112203
64101144120
71020266313
oct240322560
987112023
1042050928
1121811537
12120bb040
13893420a
14582897a
153a59803
hex281a570

42050928 has 80 divisors (see below), whose sum is σ = 119054880. Its totient is φ = 12730368.

The previous prime is 42050927. The next prime is 42050941. The reversal of 42050928 is 82905024.

It is a super-2 number, since 2×420509282 = 3536561091322368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42050895 and 42050904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42050927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22776 + ... + 24552.

It is an arithmetic number, because the mean of its divisors is an integer number (1488186).

Almost surely, 242050928 is an apocalyptic number.

42050928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42050928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527440).

42050928 is an abundant number, since it is smaller than the sum of its proper divisors (77003952).

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

42050928 is a wasteful number, since it uses less digits than its factorization.

42050928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 42050928 is about 6484.6686885299. The cubic root of 42050928 is about 347.7431054255.

The spelling of 42050928 in words is "forty-two million, fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1777 1972 2958 3554 3944 5331 5916 7108 7888 10662 11832 14216 21324 23664 28432 30209 42648 51533 60418 85296 90627 103066 120836 154599 181254 206132 241672 309198 362508 412264 483344 618396 725016 824528 876061 1236792 1450032 1752122 2473584 2628183 3504244 5256366 7008488 10512732 14016976 21025464 42050928