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42448560 = 24357112297
BaseRepresentation
bin1010000111101…
…1011010110000
32221212121110220
42201323122300
541331323220
64113453040
71023543510
oct241733260
987777426
1042448560
1121a63260
1212271180
138a431bb
1458cd840
153ad7540
hex287b6b0

42448560 has 160 divisors (see below), whose sum is σ = 164132352. Its totient is φ = 8816640.

The previous prime is 42448559. The next prime is 42448591. The reversal of 42448560 is 6584424.

42448560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17332 + ... + 19628.

Almost surely, 242448560 is an apocalyptic number.

42448560 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 42448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82066176).

42448560 is an abundant number, since it is smaller than the sum of its proper divisors (121683792).

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

42448560 is a wasteful number, since it uses less digits than its factorization.

42448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2325 counting only the distinct ones).

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

The square root of 42448560 is about 6515.2559427854. The cubic root of 42448560 is about 348.8357505510.

It can be divided in two parts, 424 and 48560, that added together give a palindrome (48984).

The spelling of 42448560 in words is "forty-two million, four hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2297 2310 2640 3080 3696 4594 4620 6160 6891 9188 9240 11485 13782 16079 18376 18480 22970 25267 27564 32158 34455 36752 45940 48237 50534 55128 64316 68910 75801 80395 91880 96474 101068 110256 126335 128632 137820 151602 160790 176869 183760 192948 202136 241185 252670 257264 275640 303204 321580 353738 379005 385896 404272 482370 505340 530607 551280 606408 643160 707476 758010 771792 884345 964740 1010680 1061214 1212816 1286320 1414952 1516020 1768690 1929480 2021360 2122428 2653035 2829904 3032040 3537380 3858960 4244856 5306070 6064080 7074760 8489712 10612140 14149520 21224280 42448560