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105602048 = 210281367
BaseRepresentation
bin1100100101101…
…01110000000000
321100201010202222
412102311300000
5204013231143
614251230212
72421413456
oct622656000
9240633688
10105602048
1154678422
122b448368
1318b55626
141004c9d6
15940e768
hex64b5c00

105602048 has 44 divisors (see below), whose sum is σ = 212429472. Its totient is φ = 52469760.

The previous prime is 105602017. The next prime is 105602051. The reversal of 105602048 is 840206501.

It is a super-2 number, since 2×1056020482 = 22303585083588608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287561 + ... + 287927.

Almost surely, 2105602048 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 105602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106214736).

105602048 is an abundant number, since it is smaller than the sum of its proper divisors (106827424).

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

105602048 is an equidigital number, since it uses as much as digits as its factorization.

105602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105602048 is about 10276.2857103138. The cubic root of 105602048 is about 472.6693557878.

Adding to 105602048 its reverse (840206501), we get a palindrome (945808549).

The spelling of 105602048 in words is "one hundred five million, six hundred two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 281 367 512 562 734 1024 1124 1468 2248 2936 4496 5872 8992 11744 17984 23488 35968 46976 71936 93952 103127 143872 187904 206254 287744 375808 412508 825016 1650032 3300064 6600128 13200256 26400512 52801024 105602048