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48333888 = 263383337
BaseRepresentation
bin1011100001100…
…0010001000000
310100221121122000
42320120101000
544333141023
64443544000
71124555061
oct270302100
9110847560
1048333888
1125312a69
121422b000
13a023c45
1465c2568
15439b243
hex2e18440

48333888 has 112 divisors (see below), whose sum is σ = 144231360. Its totient is φ = 15869952.

The previous prime is 48333881. The next prime is 48333893. The reversal of 48333888 is 88833384.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (48333881) 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, 143256 + ... + 143592.

It is an arithmetic number, because the mean of its divisors is an integer number (1287780).

Almost surely, 248333888 is an apocalyptic number.

48333888 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 48333888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72115680).

48333888 is an abundant number, since it is smaller than the sum of its proper divisors (95897472).

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

48333888 is a wasteful number, since it uses less digits than its factorization.

48333888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48333888 is about 6952.2577627703. The cubic root of 48333888 is about 364.2648316255.

Adding to 48333888 its product of digits (442368), we get a square (48776256 = 69842).

The spelling of 48333888 in words is "forty-eight million, three hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 144 166 192 216 249 288 332 337 432 498 576 664 674 747 864 996 1011 1328 1348 1494 1728 1992 2022 2241 2656 2696 2988 3033 3984 4044 4482 5312 5392 5976 6066 7968 8088 8964 9099 10784 11952 12132 15936 16176 17928 18198 21568 23904 24264 27971 32352 35856 36396 47808 48528 55942 64704 71712 72792 83913 97056 111884 143424 145584 167826 194112 223768 251739 291168 335652 447536 503478 582336 671304 755217 895072 1006956 1342608 1510434 1790144 2013912 2685216 3020868 4027824 5370432 6041736 8055648 12083472 16111296 24166944 48333888