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48930048 = 28337079
BaseRepresentation
bin1011101010100…
…1110100000000
310102001220102000
42322221310000
5100011230143
64504424000
71132620126
oct272516400
9112056360
1048930048
112568a962
1214478000
13a1a23bb
1466d9916
154467bd3
hex2ea9d00

48930048 has 72 divisors (see below), whose sum is σ = 144715200. Its totient is φ = 16307712.

The previous prime is 48930043. The next prime is 48930053. The reversal of 48930048 is 84003984.

It is an interprime number because it is at equal distance from previous prime (48930043) and next prime (48930053).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 48929994 and 48930021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48930043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3373 + ... + 10451.

Almost surely, 248930048 is an apocalyptic number.

48930048 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 48930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72357600).

48930048 is an abundant number, since it is smaller than the sum of its proper divisors (95785152).

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

48930048 is an equidigital number, since it uses as much as digits as its factorization.

48930048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48930048 is about 6995.0016440313. The cubic root of 48930048 is about 365.7563549075.

The spelling of 48930048 in words is "forty-eight million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 7079 14158 21237 28316 42474 56632 63711 84948 113264 127422 169896 191133 226528 254844 339792 382266 453056 509688 679584 764532 906112 1019376 1359168 1529064 1812224 2038752 2718336 3058128 4077504 5436672 6116256 8155008 12232512 16310016 24465024 48930048