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108379648 = 291319857
BaseRepresentation
bin1100111010110…
…11111000000000
321112221020221001
412131123320000
5210221122043
614430541344
72454132436
oct635337000
9245836831
10108379648
11561a5263
1230367854
13195b8990
1410572d56
1597ac74d
hex675be00

108379648 has 80 divisors (see below), whose sum is σ = 245765520. Its totient is φ = 47333376.

The previous prime is 108379619. The next prime is 108379673. The reversal of 108379648 is 846973801.

It is a happy number.

It is a super-2 number, since 2×1083796482 = 23492296201207808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108379598 and 108379607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126036 + ... + 126892.

It is an arithmetic number, because the mean of its divisors is an integer number (3072069).

Almost surely, 2108379648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122882760).

108379648 is an abundant number, since it is smaller than the sum of its proper divisors (137385872).

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

108379648 is an equidigital number, since it uses as much as digits as its factorization.

108379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 108379648 is about 10410.5546442060. The cubic root of 108379648 is about 476.7776756360. Note that the first 3 decimals are identical.

It can be divided in two parts, 108 and 379648, that added together give a triangular number (379756 = T871).

The spelling of 108379648 in words is "one hundred eight million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 512 608 832 857 988 1216 1664 1714 1976 2432 3328 3428 3952 4864 6656 6856 7904 9728 11141 13712 15808 16283 22282 27424 31616 32566 44564 54848 63232 65132 89128 109696 126464 130264 178256 211679 219392 260528 356512 423358 438784 521056 713024 846716 1042112 1426048 1693432 2084224 2852096 3386864 4168448 5704192 6773728 8336896 13547456 27094912 54189824 108379648