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914543136 = 25351383109
BaseRepresentation
bin110110100000101…
…101001000100000
32100201212121100000
4312200231020200
53333110340021
6230425500000
731443326343
oct6640551040
92321777300
10914543136
1142a265881
12216341600
131176190b0
148966445a
1555450b26
hex3682d220

914543136 has 288 divisors, whose sum is σ = 2966483520. Its totient is φ = 275457024.

The previous prime is 914543117. The next prime is 914543153. The reversal of 914543136 is 631345419.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 914543136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8390250 + ... + 8390358.

It is an arithmetic number, because the mean of its divisors is an integer number (10300290).

Almost surely, 2914543136 is an apocalyptic number.

914543136 is a gapful number since it is divisible by the number (96) 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 914543136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483241760).

914543136 is an abundant number, since it is smaller than the sum of its proper divisors (2051940384).

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

914543136 is a wasteful number, since it uses less digits than its factorization.

914543136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 914543136 is about 30241.4142526437. The cubic root of 914543136 is about 970.6620824395.

The spelling of 914543136 in words is "nine hundred fourteen million, five hundred forty-three thousand, one hundred thirty-six".