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116217648 = 2432431372
BaseRepresentation
bin1101110110101…
…01011100110000
322002200110122100
412323111130300
5214222431043
615310540400
72610555651
oct673253460
9262613570
10116217648
115a669048
1232b07700
131b101451
1411613528
15a309cd3
hex6ed5730

116217648 has 90 divisors (see below), whose sum is σ = 335258924. Its totient is φ = 37562112.

The previous prime is 116217641. The next prime is 116217649. The reversal of 116217648 is 846712611.

It is a happy number.

116217648 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 1 + 7 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116217641) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 848236 + ... + 848372.

Almost surely, 2116217648 is an apocalyptic number.

116217648 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 116217648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167629462).

116217648 is an abundant number, since it is smaller than the sum of its proper divisors (219041276).

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

116217648 is a wasteful number, since it uses less digits than its factorization.

116217648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 185 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 116217648 is about 10780.4289339525. The cubic root of 116217648 is about 488.0047253865.

The spelling of 116217648 in words is "one hundred sixteen million, two hundred seventeen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 137 144 172 258 274 344 387 411 516 548 688 774 822 1032 1096 1233 1548 1644 2064 2192 2466 3096 3288 4932 5891 6192 6576 9864 11782 17673 18769 19728 23564 35346 37538 47128 53019 56307 70692 75076 94256 106038 112614 141384 150152 168921 212076 225228 282768 300304 337842 424152 450456 675684 807067 848304 900912 1351368 1614134 2421201 2702736 3228268 4842402 6456536 7263603 9684804 12913072 14527206 19369608 29054412 38739216 58108824 116217648