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48673080 = 23325532551
BaseRepresentation
bin1011100110101…
…1000100111000
310101120211220200
42321223010320
544430014310
64455122200
71130500011
oct271530470
9111524820
1048673080
1125524895
1214373360
13a112451
146670008
1544169c0
hex2e6b138

48673080 has 96 divisors (see below), whose sum is σ = 161235360. Its totient is φ = 12729600.

The previous prime is 48673063. The next prime is 48673087. The reversal of 48673080 is 8037684.

48673080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48673087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17805 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (1679535).

Almost surely, 248673080 is an apocalyptic number.

48673080 is a gapful number since it is divisible by the number (40) 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 48673080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80617680).

48673080 is an abundant number, since it is smaller than the sum of its proper divisors (112562280).

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

48673080 is a wasteful number, since it uses less digits than its factorization.

48673080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48673080 is about 6976.6094917230. The cubic root of 48673080 is about 365.1149447201.

The spelling of 48673080 in words is "forty-eight million, six hundred seventy-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 2551 3180 3816 4770 5102 6360 7653 9540 10204 12755 15306 19080 20408 22959 25510 30612 38265 45918 51020 61224 76530 91836 102040 114795 135203 153060 183672 229590 270406 306120 405609 459180 540812 676015 811218 918360 1081624 1216827 1352030 1622436 2028045 2433654 2704060 3244872 4056090 4867308 5408120 6084135 8112180 9734616 12168270 16224360 24336540 48673080