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107748648 = 2332734363
BaseRepresentation
bin1100110110000…
…01110100101000
321111202012100200
412123001310220
5210040424043
614405232200
72445564000
oct633016450
9244665320
10107748648
1155904177
1230102660
13194276c7
141044b000
1596d57d3
hex66c1d28

107748648 has 96 divisors (see below), whose sum is σ = 340392000. Its totient is φ = 30778272.

The previous prime is 107748647. The next prime is 107748701. The reversal of 107748648 is 846847701.

It is a super-2 number, since 2×1077486482 = 23219542291655808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107748643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22515 + ... + 26877.

It is an arithmetic number, because the mean of its divisors is an integer number (3545750).

Almost surely, 2107748648 is an apocalyptic number.

107748648 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 107748648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170196000).

107748648 is an abundant number, since it is smaller than the sum of its proper divisors (232643352).

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

107748648 is a wasteful number, since it uses less digits than its factorization.

107748648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 107748648 is about 10380.2046222606. The cubic root of 107748648 is about 475.8505874769.

The spelling of 107748648 in words is "one hundred seven million, seven hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 4363 6174 8232 8726 12348 13089 17452 24696 26178 30541 34904 39267 52356 61082 78534 91623 104712 122164 157068 183246 213787 244328 274869 314136 366492 427574 549738 641361 732984 855148 1099476 1282722 1496509 1710296 1924083 2198952 2565444 2993018 3848166 4489527 5130888 5986036 7696332 8979054 11972072 13468581 15392664 17958108 26937162 35916216 53874324 107748648