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42169792 = 267317113
BaseRepresentation
bin1010000011011…
…1010111000000
32221100110002011
42200313113000
541243413132
64103502304
71021303000
oct240672700
987313064
1042169792
1121892875
1212157994
138976352
14585a000
153a7eb47
hex28375c0

42169792 has 112 divisors (see below), whose sum is σ = 104241600. Its totient is φ = 16859136.

The previous prime is 42169789. The next prime is 42169793. The reversal of 42169792 is 29796124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169793) 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, 373128 + ... + 373240.

Almost surely, 242169792 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 42169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52120800).

42169792 is an abundant number, since it is smaller than the sum of its proper divisors (62071808).

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

42169792 is a wasteful number, since it uses less digits than its factorization.

42169792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 42169792 is about 6493.8272228325. The cubic root of 42169792 is about 348.0704485904.

The spelling of 42169792 in words is "forty-two million, one hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 113 119 136 196 224 226 238 272 343 392 448 452 476 544 686 784 791 833 904 952 1088 1372 1568 1582 1666 1808 1904 1921 2744 3136 3164 3332 3616 3808 3842 5488 5537 5831 6328 6664 7232 7616 7684 10976 11074 11662 12656 13328 13447 15368 21952 22148 23324 25312 26656 26894 30736 38759 44296 46648 50624 53312 53788 61472 77518 88592 93296 94129 107576 122944 155036 177184 186592 188258 215152 310072 354368 373184 376516 430304 620144 658903 753032 860608 1240288 1317806 1506064 2480576 2635612 3012128 5271224 6024256 10542448 21084896 42169792