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468493248 = 2632440069
BaseRepresentation
bin11011111011001…
…010001111000000
31012122112220220210
4123323022033000
51424413240443
6114253234120
714416061346
oct3373121700
91178486823
10468493248
112204a7a03
12110a92940
13760a3352
1446313996
152b1e2c33
hex1beca3c0

468493248 has 28 divisors (see below), whose sum is σ = 1239555560. Its totient is φ = 156164352.

The previous prime is 468493243. The next prime is 468493273. The reversal of 468493248 is 842394864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 468493197 and 468493206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468493243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1219843 + ... + 1220226.

Almost surely, 2468493248 is an apocalyptic number.

468493248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468493248 is an abundant number, since it is smaller than the sum of its proper divisors (771062312).

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

468493248 is a wasteful number, since it uses less digits than its factorization.

468493248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440084 (or 2440074 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 468493248 is about 21644.7048489925. The cubic root of 468493248 is about 776.6662715793. Note that the first 3 decimals are identical.

The spelling of 468493248 in words is "four hundred sixty-eight million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2440069 4880138 7320207 9760276 14640414 19520552 29280828 39041104 58561656 78082208 117123312 156164416 234246624 468493248