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42252448 = 257533559
BaseRepresentation
bin1010000100101…
…1100010100000
32221111122110111
42201023202200
541304034243
64105341104
71022065660
oct241134240
987448414
1042252448
1121939987
1212197794
1389a4b64
14587c1a0
153a9939d
hex284b8a0

42252448 has 48 divisors (see below), whose sum is σ = 96888960. Its totient is φ = 17761536.

The previous prime is 42252341. The next prime is 42252451. The reversal of 42252448 is 84425224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10093 + ... + 13651.

It is an arithmetic number, because the mean of its divisors is an integer number (2018520).

Almost surely, 242252448 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 42252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444480).

42252448 is an abundant number, since it is smaller than the sum of its proper divisors (54636512).

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

42252448 is a wasteful number, since it uses less digits than its factorization.

42252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3621 counting only the distinct ones).

The product of its digits is 20480, while the sum is 31.

The square root of 42252448 is about 6500.1883049647. The cubic root of 42252448 is about 348.2977150203.

The spelling of 42252448 in words is "forty-two million, two hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 3559 5936 7118 11872 14236 24913 28472 49826 56944 99652 113888 188627 199304 377254 398608 754508 797216 1320389 1509016 2640778 3018032 5281556 6036064 10563112 21126224 42252448