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442135248 = 24315161001
BaseRepresentation
bin11010010110100…
…111001011010000
31010210221210112120
4122112213023100
51401141311443
6111512254240
713646042022
oct3226471320
91123853476
10442135248
11207634835
121040a1380
13707a4cb9
1442a12012
1528c38083
hex1a5a72d0

442135248 has 40 divisors (see below), whose sum is σ = 1149765696. Its totient is φ = 146400000.

The previous prime is 442135241. The next prime is 442135297. The reversal of 442135248 is 842531244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442135241) 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, 23253 + ... + 37748.

Almost surely, 2442135248 is an apocalyptic number.

442135248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

442135248 is an abundant number, since it is smaller than the sum of its proper divisors (707630448).

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

442135248 is a wasteful number, since it uses less digits than its factorization.

442135248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61163 (or 61157 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 442135248 is about 21027.0123412719. The cubic root of 442135248 is about 761.8188476865.

The spelling of 442135248 in words is "four hundred forty-two million, one hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 61001 122002 183003 244004 366006 488008 732012 976016 1464024 2928048 9211151 18422302 27633453 36844604 55266906 73689208 110533812 147378416 221067624 442135248