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48018048 = 273139619
BaseRepresentation
bin1011011100101…
…1001010000000
310100100120101020
42313023022000
544243034143
64433105440
71122101211
oct267131200
9110316336
1048018048
1125117741
12140b8280
139c43260
14653d408
154337883
hex2dcb280

48018048 has 64 divisors (see below), whose sum is σ = 137373600. Its totient is φ = 14773248.

The previous prime is 48018023. The next prime is 48018071. The reversal of 48018048 is 84081084.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 183 + ... + 9801.

Almost surely, 248018048 is an apocalyptic number.

48018048 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 48018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68686800).

48018048 is an abundant number, since it is smaller than the sum of its proper divisors (89355552).

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

48018048 is a wasteful number, since it uses less digits than its factorization.

48018048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9649 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 48018048 is about 6929.5056100706. The cubic root of 48018048 is about 363.4696620150.

It can be divided in two parts, 480 and 18048, that added together give a triangular number (18528 = T192).

The spelling of 48018048 in words is "forty-eight million, eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 9619 19238 28857 38476 57714 76952 115428 125047 153904 230856 250094 307808 375141 461712 500188 615616 750282 923424 1000376 1231232 1500564 1846848 2000752 3001128 3693696 4001504 6002256 8003008 12004512 16006016 24009024 48018048