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48379248 = 2433532113
BaseRepresentation
bin1011100010001…
…1010101110000
310101000220212000
42320203111300
544341113443
64444534000
71125134241
oct270432560
9111026760
1048379248
1125344055
1214251300
13a03b798
1465d4cc8
1543a98d3
hex2e23570

48379248 has 80 divisors (see below), whose sum is σ = 141553440. Its totient is φ = 15814656.

The previous prime is 48379237. The next prime is 48379249. The reversal of 48379248 is 84297384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48379249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21840 + ... + 23952.

It is an arithmetic number, because the mean of its divisors is an integer number (1769418).

Almost surely, 248379248 is an apocalyptic number.

48379248 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 48379248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70776720).

48379248 is an abundant number, since it is smaller than the sum of its proper divisors (93174192).

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

48379248 is a wasteful number, since it uses less digits than its factorization.

48379248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2171 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 48379248 is about 6955.5192473316. The cubic root of 48379248 is about 364.3787467778.

The spelling of 48379248 in words is "forty-eight million, three hundred seventy-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2113 2544 2862 3816 4226 5724 6339 7632 8452 11448 12678 16904 19017 22896 25356 33808 38034 50712 57051 76068 101424 111989 114102 152136 223978 228204 304272 335967 447956 456408 671934 895912 912816 1007901 1343868 1791824 2015802 2687736 3023703 4031604 5375472 6047406 8063208 12094812 16126416 24189624 48379248