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42514880 = 265132859
BaseRepresentation
bin1010001000101…
…1100111000000
32221222222110012
42202023213000
541340434010
64115124052
71024241042
oct242134700
987888405
1042514880
1121aa9071
12122a3628
138a67445
145909a92
153aec005
hex288b9c0

42514880 has 28 divisors (see below), whose sum is σ = 101239320. Its totient is φ = 17005824.

The previous prime is 42514873. The next prime is 42514883. The reversal of 42514880 is 8841524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42514883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66110 + ... + 66749.

It is an arithmetic number, because the mean of its divisors is an integer number (3615690).

Almost surely, 242514880 is an apocalyptic number.

42514880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42514880 is an abundant number, since it is smaller than the sum of its proper divisors (58724440).

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

42514880 is a wasteful number, since it uses less digits than its factorization.

42514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132876 (or 132866 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 42514880 is about 6520.3435492311. The cubic root of 42514880 is about 349.0173252155.

The spelling of 42514880 in words is "forty-two million, five hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 132859 265718 531436 664295 1062872 1328590 2125744 2657180 4251488 5314360 8502976 10628720 21257440 42514880