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42325248 = 28377873
BaseRepresentation
bin1010000101110…
…1010100000000
32221122100022210
42201131110000
541313401443
64111102120
71022521140
oct241352400
987570283
1042325248
1121989649
1212211940
1389cc034
14589a920
153ab0c33
hex285d500

42325248 has 72 divisors (see below), whose sum is σ = 128755648. Its totient is φ = 12091392.

The previous prime is 42325207. The next prime is 42325249. The reversal of 42325248 is 84252324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42325249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1440 + ... + 9312.

Almost surely, 242325248 is an apocalyptic number.

42325248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64377824).

42325248 is an abundant number, since it is smaller than the sum of its proper divisors (86430400).

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

42325248 is an equidigital number, since it uses as much as digits as its factorization.

42325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7885 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42325248 is about 6505.7857327151. The cubic root of 42325248 is about 348.4976365723.

It can be divided in two parts, 42 and 325248, that multiplied together give a square (13660416 = 36962).

The spelling of 42325248 in words is "forty-two million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 7873 15746 23619 31492 47238 55111 62984 94476 110222 125968 165333 188952 220444 251936 330666 377904 440888 503872 661332 755808 881776 1007744 1322664 1511616 1763552 2015488 2645328 3023232 3527104 5290656 6046464 7054208 10581312 14108416 21162624 42325248