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42311280 = 24351123147
BaseRepresentation
bin1010000101100…
…1111001110000
32221121122011110
42201121321300
541312430110
64110513320
71022432334
oct241317160
987548143
1042311280
112197a100
1212205840
1389c587b
1458957c4
153aaba20
hex2859e70

42311280 has 240 divisors, whose sum is σ = 151990272. Its totient is φ = 9715200.

The previous prime is 42311273. The next prime is 42311281. The reversal of 42311280 is 8211324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900217 + ... + 900263.

Almost surely, 242311280 is an apocalyptic number.

42311280 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 42311280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

42311280 is an abundant number, since it is smaller than the sum of its proper divisors (109678992).

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

42311280 is a wasteful number, since it uses less digits than its factorization.

42311280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42311280 is about 6504.7121381349. The cubic root of 42311280 is about 348.4592957804.

The spelling of 42311280 in words is "forty-two million, three hundred eleven thousand, two hundred eighty".