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42511248 = 24321322709
BaseRepresentation
bin1010001000101…
…0101110010000
32221222210110200
42202022232100
541340324443
64115055200
71024224333
oct242125620
987883420
1042511248
1121aa636a
12122a1500
138a658b0
14590861a
153aeadd3
hex288ab90

42511248 has 60 divisors (see below), whose sum is σ = 128129820. Its totient is φ = 13079808.

The previous prime is 42511241. The next prime is 42511267. The reversal of 42511248 is 84211524.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 40297104 = 1488^2 + 6348^2 .

It is not an unprimeable number, because it can be changed into a prime (42511241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9483 + ... + 13226.

It is an arithmetic number, because the mean of its divisors is an integer number (2135497).

Almost surely, 242511248 is an apocalyptic number.

42511248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42511248 is an abundant number, since it is smaller than the sum of its proper divisors (85618572).

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

42511248 is a wasteful number, since it uses less digits than its factorization.

42511248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22736 (or 22727 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42511248 is about 6520.0650303505. The cubic root of 42511248 is about 349.0073862089.

The spelling of 42511248 in words is "forty-two million, five hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 22709 45418 68127 90836 136254 181672 204381 272508 295217 363344 408762 545016 590434 817524 885651 1090032 1180868 1635048 1771302 2361736 2656953 3270096 3542604 4723472 5313906 7085208 10627812 14170416 21255624 42511248