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48814344 = 233217192099
BaseRepresentation
bin1011101000110…
…1100100001000
310101212000200200
42322031210020
544444024334
64502132200
71131625605
oct272154410
9111760620
1048814344
1125610a37
1214421060
13a161837
1466a96ac
154443799
hex2e8d908

48814344 has 96 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 14501376.

The previous prime is 48814343. The next prime is 48814351. The reversal of 48814344 is 44341884.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48814299 and 48814308.

It is not an unprimeable number, because it can be changed into a prime (48814343) 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 23 ways as a sum of consecutive naturals, for example, 22207 + ... + 24305.

It is an arithmetic number, because the mean of its divisors is an integer number (1535625).

Almost surely, 248814344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48814344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

48814344 is an abundant number, since it is smaller than the sum of its proper divisors (98605656).

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

48814344 is a wasteful number, since it uses less digits than its factorization.

48814344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2140 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 48814344 is about 6986.7262720104. The cubic root of 48814344 is about 365.4678282163.

The spelling of 48814344 in words is "forty-eight million, eight hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2099 2584 2907 3876 4198 5814 6297 7752 8396 11628 12594 16792 18891 23256 25188 35683 37782 39881 50376 71366 75564 79762 107049 119643 142732 151128 159524 214098 239286 285464 319048 321147 358929 428196 478572 642294 677977 717858 856392 957144 1284588 1355954 1435716 2033931 2569176 2711908 2871432 4067862 5423816 6101793 8135724 12203586 16271448 24407172 48814344