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930238848 = 273271110487
BaseRepresentation
bin110111011100100…
…101000110000000
32101211102000210200
4313130211012000
53401120120343
6232150125200
732023620420
oct6734450600
92354360720
10930238848
11438106240
1221b650800
1311a9532b6
148b78c480
1556a014d3
hex37725180

930238848 has 192 divisors, whose sum is σ = 3337701120. Its totient is φ = 241597440.

The previous prime is 930238807. The next prime is 930238849. The reversal of 930238848 is 848832039.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930238849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83461 + ... + 93947.

It is an arithmetic number, because the mean of its divisors is an integer number (17383860).

Almost surely, 2930238848 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 930238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668850560).

930238848 is an abundant number, since it is smaller than the sum of its proper divisors (2407462272).

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

930238848 is a wasteful number, since it uses less digits than its factorization.

930238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 930238848 is about 30499.8171797799. The cubic root of 930238848 is about 976.1835630731.

It can be divided in two parts, 930 and 238848, that added together give a triangular number (239778 = T692).

The spelling of 930238848 in words is "nine hundred thirty million, two hundred thirty-eight thousand, eight hundred forty-eight".