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114849792 = 211333167
BaseRepresentation
bin1101101100001…
…11100000000000
322000002222022000
412312013200000
5213400143132
615221344000
72563131021
oct666074000
9260088260
10114849792
1159914392
1232568000
131aa42975
1411378c48
15a13987c
hex6d87800

114849792 has 192 divisors, whose sum is σ = 356428800. Its totient is φ = 36495360.

The previous prime is 114849751. The next prime is 114849793. The reversal of 114849792 is 297948411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114849793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714143 + ... + 1714209.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2114849792 is an apocalyptic number.

114849792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

114849792 is an abundant number, since it is smaller than the sum of its proper divisors (241579008).

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

114849792 is an equidigital number, since it uses as much as digits as its factorization.

114849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 114849792 is about 10716.7995222454. The cubic root of 114849792 is about 486.0825953205.

The spelling of 114849792 in words is "one hundred fourteen million, eight hundred forty-nine thousand, seven hundred ninety-two".