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114435552 = 253711113137
BaseRepresentation
bin1101101001000…
…10010111100000
321222022221001210
412310202113200
5213243414202
615204430120
72556454230
oct664422740
9258287053
10114435552
1159661140
12323a8340
131a92925a
14112abcc0
15a0a6c6c
hex6d225e0

114435552 has 192 divisors, whose sum is σ = 380588544. Its totient is φ = 29245440.

The previous prime is 114435523. The next prime is 114435569. The reversal of 114435552 is 255534411.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835228 + ... + 835364.

It is an arithmetic number, because the mean of its divisors is an integer number (1982232).

Almost surely, 2114435552 is an apocalyptic number.

114435552 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 114435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294272).

114435552 is an abundant number, since it is smaller than the sum of its proper divisors (266152992).

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

114435552 is a wasteful number, since it uses less digits than its factorization.

114435552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 114435552 is about 10697.4553983646. The cubic root of 114435552 is about 485.4974907269.

Adding to 114435552 its reverse (255534411), we get a palindrome (369969963).

The spelling of 114435552 in words is "one hundred fourteen million, four hundred thirty-five thousand, five hundred fifty-two".