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103386048 = 2634631163
BaseRepresentation
bin1100010100110…
…00101111000000
321012112112222220
412022120233000
5202431323143
614131531040
72363524023
oct612305700
9235475886
10103386048
11533a4517
122a759a80
131855aa9c
14da331ba
159122d83
hex6298bc0

103386048 has 56 divisors (see below), whose sum is σ = 274368768. Its totient is φ = 34358016.

The previous prime is 103386037. The next prime is 103386077. The reversal of 103386048 is 840683301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88315 + ... + 89477.

Almost surely, 2103386048 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 103386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137184384).

103386048 is an abundant number, since it is smaller than the sum of its proper divisors (170982720).

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

103386048 is a wasteful number, since it uses less digits than its factorization.

103386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 103386048 is about 10167.8929970766. The cubic root of 103386048 is about 469.3397217048.

The spelling of 103386048 in words is "one hundred three million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 463 926 1163 1389 1852 2326 2778 3489 3704 4652 5556 6978 7408 9304 11112 13956 14816 18608 22224 27912 29632 37216 44448 55824 74432 88896 111648 223296 538469 1076938 1615407 2153876 3230814 4307752 6461628 8615504 12923256 17231008 25846512 34462016 51693024 103386048