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6000048 = 2433171943
BaseRepresentation
bin10110111000110110110000
3102021211112000
4112320312300
53014000143
6332334000
7101666565
oct26706660
912254460
106000048
113428a1a
122014300
131321032
14b2286c
157d7bd3
hex5b8db0

6000048 has 160 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1741824.

The previous prime is 6000047. The next prime is 6000053. The reversal of 6000048 is 8400006.

6000048 divided by its sum of digits (18) gives a triangular number (333336 = T816).

6000048 is digitally balanced in base 4, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (6000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139515 + ... + 139557.

It is an arithmetic number, because the mean of its divisors is an integer number (122760).

Almost surely, 26000048 is an apocalyptic number.

6000048 is a gapful number since it is divisible by the number (68) 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 6000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

6000048 is an abundant number, since it is smaller than the sum of its proper divisors (13641552).

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

6000048 is a wasteful number, since it uses less digits than its factorization.

6000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6000048 is about 2449.4995407226. The cubic root of 6000048 is about 181.7125438474.

The spelling of 6000048 in words is "six million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 43 48 51 54 57 68 72 76 86 102 108 114 129 136 144 152 153 171 172 204 216 228 258 272 304 306 323 342 344 387 408 432 456 459 513 516 612 646 684 688 731 774 816 817 912 918 969 1026 1032 1161 1224 1292 1368 1462 1548 1634 1836 1938 2052 2064 2193 2322 2448 2451 2584 2736 2907 2924 3096 3268 3672 3876 4104 4386 4644 4902 5168 5814 5848 6192 6536 6579 7344 7353 7752 8208 8721 8772 9288 9804 11628 11696 13072 13158 13889 14706 15504 17442 17544 18576 19608 19737 22059 23256 26316 27778 29412 34884 35088 39216 39474 41667 44118 46512 52632 55556 58824 69768 78948 83334 88236 105264 111112 117648 125001 139536 157896 166668 176472 222224 250002 315792 333336 352944 375003 500004 666672 750006 1000008 1500012 2000016 3000024 6000048