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114393048 = 233721137239
BaseRepresentation
bin1101101000101…
…11111111011000
321222020202202120
412310113333120
5213241034143
615203501240
72556216300
oct664277730
9258222676
10114393048
1159632210
1232387820
131a912ac3
141129a600
15a099383
hex6d17fd8

114393048 has 192 divisors, whose sum is σ = 374284800. Its totient is φ = 28788480.

The previous prime is 114393043. The next prime is 114393079. The reversal of 114393048 is 840393411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114393043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478513 + ... + 478751.

It is an arithmetic number, because the mean of its divisors is an integer number (1949400).

Almost surely, 2114393048 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 114393048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142400).

114393048 is an abundant number, since it is smaller than the sum of its proper divisors (259891752).

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

114393048 is a wasteful number, since it uses less digits than its factorization.

114393048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 114393048 is about 10695.4685731856. The cubic root of 114393048 is about 485.4373749664.

The spelling of 114393048 in words is "one hundred fourteen million, three hundred ninety-three thousand, forty-eight".