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42901408 = 2511307397
BaseRepresentation
bin1010001110100…
…1111110100000
32222201121200001
42203221332200
541440321113
64131305344
71030440664
oct243517640
988647601
1042901408
1122242510
121244b254
138b71364
1459aa8a4
153b767dd
hex28e9fa0

42901408 has 48 divisors (see below), whose sum is σ = 92673504. Its totient is φ = 19388160.

The previous prime is 42901403. The next prime is 42901423. The reversal of 42901408 is 80410924.

42901408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42901403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107866 + ... + 108262.

It is an arithmetic number, because the mean of its divisors is an integer number (1930698).

Almost surely, 242901408 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 42901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46336752).

42901408 is an abundant number, since it is smaller than the sum of its proper divisors (49772096).

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

42901408 is a wasteful number, since it uses less digits than its factorization.

42901408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 42901408 is about 6549.9166406909. The cubic root of 42901408 is about 350.0718437552.

The spelling of 42901408 in words is "forty-two million, nine hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 307 352 397 614 794 1228 1588 2456 3176 3377 4367 4912 6352 6754 8734 9824 12704 13508 17468 27016 34936 54032 69872 108064 121879 139744 243758 487516 975032 1340669 1950064 2681338 3900128 5362676 10725352 21450704 42901408