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48189168 = 2434192103
BaseRepresentation
bin1011011111010…
…0111011110000
310100200021010000
42313310323300
544314023133
64440510000
71123413126
oct267647360
9110607100
1048189168
1125224265
121417b300
139ca3101
146585916
15436d413
hex2df4ef0

48189168 has 150 divisors (see below), whose sum is σ = 148629624. Its totient is φ = 15069888.

The previous prime is 48189143. The next prime is 48189173. The reversal of 48189168 is 86198184.

48189168 is a `hidden beast` number, since 481 + 8 + 9 + 168 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467805 + ... + 467907.

Almost surely, 248189168 is an apocalyptic number.

48189168 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 48189168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314812).

48189168 is an abundant number, since it is smaller than the sum of its proper divisors (100440456).

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

48189168 is a wasteful number, since it uses less digits than its factorization.

48189168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 48189168 is about 6941.8418305231. The cubic root of 48189168 is about 363.9009109181.

The spelling of 48189168 in words is "forty-eight million, one hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 103 108 114 144 152 162 171 206 216 228 304 309 324 342 361 412 432 456 513 618 648 684 722 824 912 927 1026 1083 1236 1296 1368 1444 1539 1648 1854 1957 2052 2166 2472 2736 2781 2888 3078 3249 3708 3914 4104 4332 4944 5562 5776 5871 6156 6498 7416 7828 8208 8343 8664 9747 11124 11742 12312 12996 14832 15656 16686 17328 17613 19494 22248 23484 24624 25992 29241 31312 33372 35226 37183 38988 44496 46968 51984 52839 58482 66744 70452 74366 77976 93936 105678 111549 116964 133488 140904 148732 155952 158517 211356 223098 233928 281808 297464 317034 334647 422712 446196 467856 594928 634068 669294 845424 892392 1003941 1268136 1338588 1784784 2007882 2536272 2677176 3011823 4015764 5354352 6023646 8031528 12047292 16063056 24094584 48189168