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42206560 = 2551123981
BaseRepresentation
bin1010000100000…
…0010101100000
32221102022111221
42201000111200
541301102220
64104344424
71021515124
oct241002540
987368457
1042206560
1121908460
1212175114
138989cc6
145869584
153a8a9aa
hex2840560

42206560 has 48 divisors (see below), whose sum is σ = 108782352. Its totient is φ = 15347200.

The previous prime is 42206551. The next prime is 42206561. The reversal of 42206560 is 6560224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42206561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10231 + ... + 13750.

It is an arithmetic number, because the mean of its divisors is an integer number (2266299).

Almost surely, 242206560 is an apocalyptic number.

42206560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42206560 is an abundant number, since it is smaller than the sum of its proper divisors (66575792).

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

42206560 is a wasteful number, since it uses less digits than its factorization.

42206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24007 (or 23999 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42206560 is about 6496.6576021828. The cubic root of 42206560 is about 348.1715805141.

Adding to 42206560 its reverse (6560224), we get a palindrome (48766784).

It can be divided in two parts, 42 and 206560, that added together give a palindrome (206602).

The spelling of 42206560 in words is "forty-two million, two hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 23981 47962 95924 119905 191848 239810 263791 383696 479620 527582 767392 959240 1055164 1318955 1918480 2110328 2637910 3836960 4220656 5275820 8441312 10551640 21103280 42206560