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48438368 = 25112331193
BaseRepresentation
bin1011100011000…
…1110001100000
310101010220221122
42320301301200
544400011433
64450111412
71125501506
oct270616140
9111126848
1048438368
1125384510
121427b568
13a05c674
14660c676
1543bc198
hex2e31c60

48438368 has 96 divisors (see below), whose sum is σ = 112637952. Its totient is φ = 20275200.

The previous prime is 48438361. The next prime is 48438371. The reversal of 48438368 is 86383484.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48438361) 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 15 ways as a sum of consecutive naturals, for example, 250880 + ... + 251072.

It is an arithmetic number, because the mean of its divisors is an integer number (1173312).

Almost surely, 248438368 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 48438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56318976).

48438368 is an abundant number, since it is smaller than the sum of its proper divisors (64199584).

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

48438368 is a wasteful number, since it uses less digits than its factorization.

48438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 48438368 is about 6959.7678122190. The cubic root of 48438368 is about 364.5271113726.

Subtracting 48438368 from its reverse (86383484), we obtain a triangular number (37945116 = T8711).

The spelling of 48438368 in words is "forty-eight million, four hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 88 92 124 176 184 193 248 253 341 352 368 386 496 506 682 713 736 772 992 1012 1364 1426 1544 2024 2123 2728 2852 3088 4048 4246 4439 5456 5704 5983 6176 7843 8096 8492 8878 10912 11408 11966 15686 16984 17756 22816 23932 31372 33968 35512 47864 48829 62744 65813 67936 71024 95728 97658 125488 131626 137609 142048 191456 195316 250976 263252 275218 390632 526504 550436 781264 1053008 1100872 1513699 1562528 2106016 2201744 3027398 4403488 6054796 12109592 24219184 48438368