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48363744 = 25311132271
BaseRepresentation
bin1011100001111…
…1100011100000
310101000010120210
42320133203200
544340114434
64444334120
71125041112
oct270374340
9111003523
1048363744
1125333440
1214244340
13a034700
1465cd3b2
1543a4ee9
hex2e1f8e0

48363744 has 144 divisors (see below), whose sum is σ = 150522624. Its totient is φ = 13478400.

The previous prime is 48363727. The next prime is 48363767. The reversal of 48363744 is 44736384.

48363744 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 (39).

It is a congruent number.

It is an unprimeable number.

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, 178329 + ... + 178599.

It is an arithmetic number, because the mean of its divisors is an integer number (1045296).

Almost surely, 248363744 is an apocalyptic number.

48363744 is a gapful number since it is divisible by the number (44) 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 48363744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75261312).

48363744 is an abundant number, since it is smaller than the sum of its proper divisors (102158880).

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

48363744 is a wasteful number, since it uses less digits than its factorization.

48363744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 48363744 is about 6954.4046474159. The cubic root of 48363744 is about 364.3398187119.

The spelling of 48363744 in words is "forty-eight million, three hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 271 286 312 338 352 416 429 507 528 542 572 624 676 813 858 1014 1056 1084 1144 1248 1352 1626 1716 1859 2028 2168 2288 2704 2981 3252 3432 3523 3718 4056 4336 4576 5408 5577 5962 6504 6864 7046 7436 8112 8672 8943 10569 11154 11924 13008 13728 14092 14872 16224 17886 21138 22308 23848 26016 28184 29744 35772 38753 42276 44616 45799 47696 56368 59488 71544 77506 84552 89232 91598 95392 112736 116259 137397 143088 155012 169104 178464 183196 232518 274794 286176 310024 338208 366392 465036 503789 549588 620048 732784 930072 1007578 1099176 1240096 1465568 1511367 1860144 2015156 2198352 3022734 3720288 4030312 4396704 6045468 8060624 12090936 16121248 24181872 48363744