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42748452 = 22331013919
BaseRepresentation
bin1010001100010…
…0101000100100
32222102211212000
42203010220210
541420422302
64124125300
71026233025
oct243045044
988384760
1042748452
11221485aa
1212396830
138b19856
14596ac4c
153b4631c
hex28c4a24

42748452 has 48 divisors (see below), whose sum is σ = 111955200. Its totient is φ = 14104800.

The previous prime is 42748429. The next prime is 42748469. The reversal of 42748452 is 25484724.

42748452 = T243 + T244 + ... + T646.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8949 + ... + 12867.

It is an arithmetic number, because the mean of its divisors is an integer number (2332400).

Almost surely, 242748452 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 42748452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977600).

42748452 is an abundant number, since it is smaller than the sum of its proper divisors (69206748).

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

42748452 is a wasteful number, since it uses less digits than its factorization.

42748452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42748452 is about 6538.2300357207. The cubic root of 42748452 is about 349.6553123562.

The spelling of 42748452 in words is "forty-two million, seven hundred forty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 3919 5454 7838 10908 11757 15676 23514 35271 47028 70542 105813 141084 211626 395819 423252 791638 1187457 1583276 2374914 3562371 4749828 7124742 10687113 14249484 21374226 42748452