Search a number
-
+
42215280 = 2435175897
BaseRepresentation
bin1010000100001…
…0011101110000
32221102202110220
42201002131300
541301342110
64104453040
71021552422
oct241023560
987382426
1042215280
1121913a68
121217a180
138990c73
14586c812
153a8d370
hex2842770

42215280 has 40 divisors (see below), whose sum is σ = 130868112. Its totient is φ = 11257344.

The previous prime is 42215269. The next prime is 42215291. The reversal of 42215280 is 8251224.

It is an interprime number because it is at equal distance from previous prime (42215269) and next prime (42215291).

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

It is a super-3 number, since 3×422152803 (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42215280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87709 + ... + 88188.

Almost surely, 242215280 is an apocalyptic number.

42215280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42215280 is an abundant number, since it is smaller than the sum of its proper divisors (88652832).

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

42215280 is a wasteful number, since it uses less digits than its factorization.

42215280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175913 (or 175907 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42215280 is about 6497.3286818507. The cubic root of 42215280 is about 348.1955566220.

The spelling of 42215280 in words is "forty-two million, two hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 175897 351794 527691 703588 879485 1055382 1407176 1758970 2110764 2638455 2814352 3517940 4221528 5276910 7035880 8443056 10553820 14071760 21107640 42215280