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42694080 = 26351113311
BaseRepresentation
bin1010001011011…
…1010111000000
32222100002021020
42202313113000
541412202310
64123025440
71025615352
oct242672700
988302236
1042694080
1122110770
121236b280
138acab90
1459550d2
153b35170
hex28b75c0

42694080 has 224 divisors, whose sum is σ = 159763968. Its totient is φ = 9523200.

The previous prime is 42694033. The next prime is 42694081. The reversal of 42694080 is 8049624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42694081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137125 + ... + 137435.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 242694080 is an apocalyptic number.

42694080 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 42694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

42694080 is an abundant number, since it is smaller than the sum of its proper divisors (117069888).

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

42694080 is a wasteful number, since it uses less digits than its factorization.

42694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42694080 is about 6534.0707066881. The cubic root of 42694080 is about 349.5070065992.

The spelling of 42694080 in words is "forty-two million, six hundred ninety-four thousand, eighty".