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442312848 = 24323071617
BaseRepresentation
bin11010010111010…
…010100010010000
31010211021211011100
4122113102202100
51401213002343
6111520144400
713650411555
oct3227224220
91124254140
10442312848
1120774620a
12104168100
1370837aa3
1442a5aa2c
1528c709d3
hex1a5d2890

442312848 has 30 divisors (see below), whose sum is σ = 1237862054. Its totient is φ = 147437568.

The previous prime is 442312847. The next prime is 442312861. The reversal of 442312848 is 848213244.

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 158457744 = 16848^2 + 12588^2 .

It is a super-2 number, since 2×4423128482 = 391281311011742208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (442312847) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1535665 + ... + 1535952.

Almost surely, 2442312848 is an apocalyptic number.

442312848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442312848 is an abundant number, since it is smaller than the sum of its proper divisors (795549206).

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

442312848 is a wasteful number, since it uses less digits than its factorization.

442312848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071631 (or 3071622 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 442312848 is about 21031.2350564583. The cubic root of 442312848 is about 761.9208382848.

It can be divided in two parts, 4423 and 12848, that added together give a palindrome (17271).

The spelling of 442312848 in words is "four hundred forty-two million, three hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3071617 6143234 9214851 12286468 18429702 24572936 27644553 36859404 49145872 55289106 73718808 110578212 147437616 221156424 442312848