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42169520 = 24517101307
BaseRepresentation
bin1010000011011…
…1010010110000
32221100102201002
42200313102300
541243411040
64103501132
71021302131
oct240672260
987312632
1042169520
1121892648
12121577a8
1389761a3
145859c88
153a7ea15
hex28374b0

42169520 has 80 divisors (see below), whose sum is σ = 105180768. Its totient is φ = 15667200.

The previous prime is 42169513. The next prime is 42169549. The reversal of 42169520 is 2596124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 137207 + ... + 137513.

Almost surely, 242169520 is an apocalyptic number.

42169520 is a gapful number since it is divisible by the number (40) 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 42169520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384).

42169520 is an abundant number, since it is smaller than the sum of its proper divisors (63011248).

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

42169520 is a wasteful number, since it uses less digits than its factorization.

42169520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 42169520 is about 6493.8062798331. The cubic root of 42169520 is about 348.0697002240.

It can be divided in two parts, 4216 and 9520, that multiplied together give a triangular number (40136320 = T8959).

The spelling of 42169520 in words is "forty-two million, one hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 307 340 404 505 614 680 808 1010 1228 1360 1535 1616 1717 2020 2456 3070 3434 4040 4912 5219 6140 6868 8080 8585 10438 12280 13736 17170 20876 24560 26095 27472 31007 34340 41752 52190 62014 68680 83504 104380 124028 137360 155035 208760 248056 310070 417520 496112 527119 620140 1054238 1240280 2108476 2480560 2635595 4216952 5271190 8433904 10542380 21084760 42169520