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105827352 = 2334409473
BaseRepresentation
bin1100100111011…
…00110000011000
321101010120211120
412103230300120
5204042433402
614300125240
72423342361
oct623546030
9241116746
10105827352
1154811724
122b536820
1318c04047
14100aab68
1594563bc
hex64ecc18

105827352 has 16 divisors (see below), whose sum is σ = 264568440. Its totient is φ = 35275776.

The previous prime is 105827339. The next prime is 105827353. The reversal of 105827352 is 253728501.

It is a super-2 number, since 2×1058273522 = 22398856862663808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105827353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2204713 + ... + 2204760.

Almost surely, 2105827352 is an apocalyptic number.

105827352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105827352 is an abundant number, since it is smaller than the sum of its proper divisors (158741088).

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

105827352 is a wasteful number, since it uses less digits than its factorization.

105827352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409482 (or 4409478 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 105827352 is about 10287.2421960407. The cubic root of 105827352 is about 473.0052667299.

The spelling of 105827352 in words is "one hundred five million, eight hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 4409473 8818946 13228419 17637892 26456838 35275784 52913676 105827352