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114500544 = 2631673571
BaseRepresentation
bin1101101001100…
…10001111000000
321222110020012220
412310302033000
5213303004134
615210051040
72560144554
oct664621700
9258406186
10114500544
11596a5a54
1232419a80
131a94ca02
14112c7864
15a0bb149
hex6d323c0

114500544 has 56 divisors (see below), whose sum is σ = 304848768. Its totient is φ = 37927680.

The previous prime is 114500543. The next prime is 114500557. The reversal of 114500544 is 445005411.

It is a happy number.

It is a super-2 number, since 2×1145005442 = 26220749152591872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114500543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30279 + ... + 33849.

It is an arithmetic number, because the mean of its divisors is an integer number (5443728).

Almost surely, 2114500544 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 114500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152424384).

114500544 is an abundant number, since it is smaller than the sum of its proper divisors (190348224).

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

114500544 is a wasteful number, since it uses less digits than its factorization.

114500544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 114500544 is about 10700.4926989368. The cubic root of 114500544 is about 485.5893837351.

Adding to 114500544 its reverse (445005411), we get a palindrome (559505955).

The spelling of 114500544 in words is "one hundred fourteen million, five hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 3571 4008 5344 7142 8016 10688 10713 14284 16032 21426 28568 32064 42852 57136 85704 114272 171408 228544 342816 596357 685632 1192714 1789071 2385428 3578142 4770856 7156284 9541712 14312568 19083424 28625136 38166848 57250272 114500544