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42219760 = 2451147977
BaseRepresentation
bin1010000100001…
…1100011110000
32221102222121211
42201003203300
541302013020
64104525504
71021601452
oct241034360
987388554
1042219760
1121917370
1212180894
13899300b
1458702d2
153a8e85a
hex28438f0

42219760 has 40 divisors (see below), whose sum is σ = 107086896. Its totient is φ = 15352320.

The previous prime is 42219757. The next prime is 42219761. The reversal of 42219760 is 6791224.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42219761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23109 + ... + 24868.

Almost surely, 242219760 is an apocalyptic number.

42219760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42219760 is an abundant number, since it is smaller than the sum of its proper divisors (64867136).

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

42219760 is a wasteful number, since it uses less digits than its factorization.

42219760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48001 (or 47995 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 42219760 is about 6497.6734297747. The cubic root of 42219760 is about 348.2078733386.

The spelling of 42219760 in words is "forty-two million, two hundred nineteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 47977 95954 191908 239885 383816 479770 527747 767632 959540 1055494 1919080 2110988 2638735 3838160 4221976 5277470 8443952 10554940 21109880 42219760