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914012928 = 28323167191
BaseRepresentation
bin110110011110101…
…011101100000000
32100200212200000200
4312132223230000
53332441403203
6230410245200
731435660503
oct6636535400
92320780020
10914012928
11429a33494
12216126800
1311749196a
148956713a
15553989a3
hex367abb00

914012928 has 216 divisors, whose sum is σ = 2775392256. Its totient is φ = 288921600.

The previous prime is 914012927. The next prime is 914012929. The reversal of 914012928 is 829210419.

914012928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (914012927) and next prime (914012929).

It is a super-3 number, since 3×9140129283 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 914012892 and 914012901.

It is not an unprimeable number, because it can be changed into a prime (914012927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4785313 + ... + 4785503.

Almost surely, 2914012928 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 914012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387696128).

914012928 is an abundant number, since it is smaller than the sum of its proper divisors (1861379328).

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

914012928 is a wasteful number, since it uses less digits than its factorization.

914012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 914012928 is about 30232.6467250223. The cubic root of 914012928 is about 970.4744651582.

The spelling of 914012928 in words is "nine hundred fourteen million, twelve thousand, nine hundred twenty-eight".