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42949368 = 233271161127
BaseRepresentation
bin1010001111010…
…1101011111000
32222211001110100
42203311223320
541443334433
64132315400
71031030550
oct243655370
988731410
1042949368
1122275550
1212472b60
138b8a137
1459c0160
153b85b13
hex28f5af8

42949368 has 192 divisors, whose sum is σ = 148561920. Its totient is φ = 10886400.

The previous prime is 42949339. The next prime is 42949393. The reversal of 42949368 is 86394924.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338121 + ... + 338247.

It is an arithmetic number, because the mean of its divisors is an integer number (773760).

Almost surely, 242949368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42949368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

42949368 is an abundant number, since it is smaller than the sum of its proper divisors (105612552).

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

42949368 is a wasteful number, since it uses less digits than its factorization.

42949368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42949368 is about 6553.5767333571. The cubic root of 42949368 is about 350.2022450164.

The spelling of 42949368 in words is "forty-two million, nine hundred forty-nine thousand, three hundred sixty-eight".