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42175320 = 23351189359
BaseRepresentation
bin1010000011100…
…0101101011000
32221100201122220
42200320231120
541244102240
64103544040
71021325055
oct240705530
987321586
1042175320
1121896a40
121215b020
138978a15
14585c02c
153a815d0
hex2838b58

42175320 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 10081280.

The previous prime is 42175271. The next prime is 42175327. The reversal of 42175320 is 2357124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42175327) 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 31 ways as a sum of consecutive naturals, for example, 117301 + ... + 117659.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 242175320 is an apocalyptic number.

42175320 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 42175320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

42175320 is an abundant number, since it is smaller than the sum of its proper divisors (97792680).

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

42175320 is a wasteful number, since it uses less digits than its factorization.

42175320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42175320 is about 6494.2528438613. The cubic root of 42175320 is about 348.0856573396.

The spelling of 42175320 in words is "forty-two million, one hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 359 440 445 534 660 712 718 890 979 1068 1077 1320 1335 1436 1780 1795 1958 2136 2154 2670 2872 2937 3560 3590 3916 3949 4308 4895 5340 5385 5874 7180 7832 7898 8616 9790 10680 10770 11748 11847 14360 14685 15796 19580 19745 21540 23496 23694 29370 31592 31951 39160 39490 43080 47388 58740 59235 63902 78980 94776 95853 117480 118470 127804 157960 159755 191706 236940 255608 319510 351461 383412 473880 479265 639020 702922 766824 958530 1054383 1278040 1405844 1757305 1917060 2108766 2811688 3514610 3834120 4217532 5271915 7029220 8435064 10543830 14058440 21087660 42175320