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106452648 = 23322364283
BaseRepresentation
bin1100101100001…
…01011010101000
321102022100120200
412112011122220
5204222441043
614321352200
72431555401
oct626053250
9242270520
10106452648
11550a94a5
122b798660
1319092843
14101d09a8
15952b7d3
hex65856a8

106452648 has 48 divisors (see below), whose sum is σ = 300849120. Its totient is φ = 33940896.

The previous prime is 106452641. The next prime is 106452659. The reversal of 106452648 is 846254601.

106452648 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 5 + 2 + 648 = 666.

It is a super-2 number, since 2×1064526482 = 22664332532423808, which contains 22 as substring.

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 (106452641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30486 + ... + 33797.

It is an arithmetic number, because the mean of its divisors is an integer number (6267690).

Almost surely, 2106452648 is an apocalyptic number.

106452648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106452648 is an abundant number, since it is smaller than the sum of its proper divisors (194396472).

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

106452648 is a wasteful number, since it uses less digits than its factorization.

106452648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64318 (or 64311 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 106452648 is about 10317.5892533091. The cubic root of 106452648 is about 473.9350442422.

The spelling of 106452648 in words is "one hundred six million, four hundred fifty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 64283 128566 192849 257132 385698 514264 578547 771396 1157094 1478509 1542792 2314188 2957018 4435527 4628376 5914036 8871054 11828072 13306581 17742108 26613162 35484216 53226324 106452648