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135556848 = 24337231949
BaseRepresentation
bin10000001010001…
…10111011110000
3100110002000001000
420011012323300
5234200304343
621241242000
73234133320
oct1005067360
9313060030
10135556848
116a577959
1239493300
1322112b6b
1414009280
15bd79ed3
hex8146ef0

135556848 has 160 divisors (see below), whose sum is σ = 464256000. Its totient is φ = 37027584.

The previous prime is 135556829. The next prime is 135556859. The reversal of 135556848 is 848655531.

135556848 is a `hidden beast` number, since 13 + 5 + 556 + 84 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68578 + ... + 70526.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2135556848 is an apocalyptic number.

135556848 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 135556848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

135556848 is an abundant number, since it is smaller than the sum of its proper divisors (328699152).

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

135556848 is a wasteful number, since it uses less digits than its factorization.

135556848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 135556848 is about 11642.8883014482. Note that the first 3 decimals coincide. The cubic root of 135556848 is about 513.6971473148.

The spelling of 135556848 in words is "one hundred thirty-five million, five hundred fifty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 1949 2484 2576 2898 3024 3312 3864 3898 4347 4968 5796 5847 7728 7796 8694 9936 11592 11694 13643 15592 17388 17541 23184 23388 27286 31184 34776 35082 40929 44827 46776 52623 54572 69552 70164 81858 89654 93552 105246 109144 122787 134481 140328 163716 179308 210492 218288 245574 268962 280656 313789 327432 358616 368361 403443 420984 491148 537924 627578 654864 717232 736722 806886 841968 941367 982296 1075848 1210329 1255156 1473444 1613772 1882734 1964592 2151696 2420658 2510312 2824101 2946888 3227544 3765468 4841316 5020624 5648202 5893776 6455088 7530936 8472303 9682632 11296404 15061872 16944606 19365264 22592808 33889212 45185616 67778424 135556848