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48067344 = 243613317
BaseRepresentation
bin1011011101011…
…1001100010000
310100110002000000
42313113030100
544301123334
64434130000
71122365013
oct267271420
9110402000
1048067344
1125150786
1214120900
139c5c820
14655337a
154347299
hex2dd7310

48067344 has 140 divisors (see below), whose sum is σ = 150847116. Its totient is φ = 14743296.

The previous prime is 48067339. The next prime is 48067363. The reversal of 48067344 is 44376084.

48067344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 43401744 = 2160^2 + 6588^2 .

It is a super-3 number, since 3×480673443 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48067299 and 48067308.

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 27 ways as a sum of consecutive naturals, for example, 151474 + ... + 151790.

Almost surely, 248067344 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 48067344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423558).

48067344 is an abundant number, since it is smaller than the sum of its proper divisors (102779772).

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

48067344 is a wasteful number, since it uses less digits than its factorization.

48067344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 48067344 is about 6933.0616613441. The cubic root of 48067344 is about 363.5940004892.

The spelling of 48067344 in words is "forty-eight million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 317 324 351 432 468 486 624 634 648 702 729 936 951 972 1053 1268 1296 1404 1458 1872 1902 1944 2106 2536 2808 2853 2916 3159 3804 3888 4121 4212 5072 5616 5706 5832 6318 7608 8242 8424 8559 9477 11412 11664 12363 12636 15216 16484 16848 17118 18954 22824 24726 25272 25677 32968 34236 37089 37908 45648 49452 50544 51354 65936 68472 74178 75816 77031 98904 102708 111267 136944 148356 151632 154062 197808 205416 222534 231093 296712 308124 333801 410832 445068 462186 593424 616248 667602 890136 924372 1001403 1232496 1335204 1780272 1848744 2002806 2670408 3004209 3697488 4005612 5340816 6008418 8011224 12016836 16022448 24033672 48067344