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106958848 = 21226113
BaseRepresentation
bin1100110000000…
…01000000000000
321110021001221211
412120001000000
5204340140343
614340255504
72436064243
oct630010000
9243231854
10106958848
1155414847
122b9a1594
131920c079
14102c325a
1595cb79d
hex6601000

106958848 has 26 divisors (see below), whose sum is σ = 213899774. Its totient is φ = 53477376.

The previous prime is 106958843. The next prime is 106958857. The reversal of 106958848 is 848859601.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 11075584 = 9792^2 + 3328^2 .

It is a super-2 number, since 2×1069588482 = 22880390330974208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106958843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8961 + ... + 17152.

Almost surely, 2106958848 is an apocalyptic number.

It is an amenable number.

106958848 is a deficient number, since it is larger than the sum of its proper divisors (106940926).

106958848 is an frugal number, since it uses more digits than its factorization.

106958848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26137 (or 26115 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The square root of 106958848 is about 10342.0910844954. The cubic root of 106958848 is about 474.6850699145.

The spelling of 106958848 in words is "one hundred six million, nine hundred fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 26113 52226 104452 208904 417808 835616 1671232 3342464 6684928 13369856 26739712 53479424 106958848