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116192448 = 2633193539
BaseRepresentation
bin1101110110011…
…11010011000000
322002122012002000
412323033103000
5214221124243
615310224000
72610422331
oct673172300
9262565060
10116192448
115a651119
1232ab5000
131b0c2b38
1411608288
15a3025d3
hex6ecf4c0

116192448 has 112 divisors (see below), whose sum is σ = 359664000. Its totient is φ = 36681984.

The previous prime is 116192443. The next prime is 116192449. The reversal of 116192448 is 844291611.

116192448 is a `hidden beast` number, since 11 + 619 + 24 + 4 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (116192443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31063 + ... + 34601.

Almost surely, 2116192448 is an apocalyptic number.

116192448 is a gapful number since it is divisible by the number (18) 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 116192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179832000).

116192448 is an abundant number, since it is smaller than the sum of its proper divisors (243471552).

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

116192448 is a wasteful number, since it uses less digits than its factorization.

116192448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3563 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116192448 is about 10779.2600859243. The cubic root of 116192448 is about 487.9694507437.

The spelling of 116192448 in words is "one hundred sixteen million, one hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3539 3648 4104 5472 7078 8208 10617 10944 14156 16416 21234 28312 31851 32832 42468 56624 63702 67241 84936 95553 113248 127404 134482 169872 191106 201723 226496 254808 268964 339744 382212 403446 509616 537928 605169 679488 764424 806892 1019232 1075856 1210338 1528848 1613784 1815507 2038464 2151712 2420676 3057696 3227568 3631014 4303424 4841352 6115392 6455136 7262028 9682704 12910272 14524056 19365408 29048112 38730816 58096224 116192448