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42948360 = 233357131923
BaseRepresentation
bin1010001111010…
…1011100001000
32222211000002000
42203311130020
541443321420
64132311000
71031024610
oct243653410
988730060
1042948360
1122274814
1212472460
138b89840
1459bda40
153b85690
hex28f5708

42948360 has 512 divisors, whose sum is σ = 193536000. Its totient is φ = 8211456.

The previous prime is 42948349. The next prime is 42948413. The reversal of 42948360 is 6384924.

It is a happy number.

42948360 is a `hidden beast` number, since 4 + 294 + 8 + 360 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867309 + ... + 1867331.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 242948360 is an apocalyptic number.

42948360 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 42948360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

42948360 is an abundant number, since it is smaller than the sum of its proper divisors (150587640).

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

42948360 is a wasteful number, since it uses less digits than its factorization.

42948360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42948360 is about 6553.4998283360. The cubic root of 42948360 is about 350.1995053050.

The spelling of 42948360 in words is "forty-two million, nine hundred forty-eight thousand, three hundred sixty".