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948950016 = 2103744129
BaseRepresentation
bin111000100011111…
…101010000000000
32110010121122200220
4320203331100000
53420412400031
6234055143040
732341641060
oct7043752000
92403548626
10948950016
11447726213
12225974a80
131217a4bb1
149005d3a0
155849a596
hex388fd400

948950016 has 88 divisors (see below), whose sum is σ = 2890691520. Its totient is φ = 271122432.

The previous prime is 948949997. The next prime is 948950017. The reversal of 948950016 is 610059849.

It is a super-2 number, since 2×9489500162 = 1801012265732800512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 948950016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948950017) 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, 561 + ... + 43568.

Almost surely, 2948950016 is an apocalyptic number.

948950016 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 948950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445345760).

948950016 is an abundant number, since it is smaller than the sum of its proper divisors (1941741504).

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

948950016 is a wasteful number, since it uses less digits than its factorization.

948950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44159 (or 44141 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 948950016 is about 30805.0323161655. The cubic root of 948950016 is about 982.6852690780.

The spelling of 948950016 in words is "nine hundred forty-eight million, nine hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 44129 88258 132387 176516 264774 308903 353032 529548 617806 706064 926709 1059096 1235612 1412128 1853418 2118192 2471224 2824256 3706836 4236384 4942448 5648512 7413672 8472768 9884896 11297024 14827344 16945536 19769792 22594048 29654688 33891072 39539584 45188096 59309376 67782144 79079168 118618752 135564288 158158336 237237504 316316672 474475008 948950016