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42900480 = 2103257219
BaseRepresentation
bin1010001110100…
…1110000000000
32222201120101200
42203221300000
541440303410
64131301200
71030435200
oct243516000
988646350
1042900480
1122241847
121244a800
138b70acc
1459aa400
153b763c0
hex28e9c00

42900480 has 396 divisors, whose sum is σ = 182019240. Its totient is φ = 9289728.

The previous prime is 42900449. The next prime is 42900491. The reversal of 42900480 is 8400924.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257911 + ... + 2257929.

Almost surely, 242900480 is an apocalyptic number.

42900480 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 42900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91009620).

42900480 is an abundant number, since it is smaller than the sum of its proper divisors (139118760).

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

42900480 is a wasteful number, since it uses less digits than its factorization.

42900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42900480 is about 6549.8457997116. The cubic root of 42900480 is about 350.0693196033.

The spelling of 42900480 in words is "forty-two million, nine hundred thousand, four hundred eighty".