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948950112 = 253111675381
BaseRepresentation
bin111000100011111…
…101010001100000
32110010121122211110
4320203331101200
53420412400422
6234055143320
732341641255
oct7043752140
92403548743
10948950112
114477262a0
12225974b40
131217a4c56
149005d42c
155849a60c
hex388fd460

948950112 has 96 divisors (see below), whose sum is σ = 2734228224. Its totient is φ = 285785600.

The previous prime is 948950089. The next prime is 948950113. The reversal of 948950112 is 211059849.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948950113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173662 + ... + 179042.

It is an arithmetic number, because the mean of its divisors is an integer number (28481544).

Almost surely, 2948950112 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 948950112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367114112).

948950112 is an abundant number, since it is smaller than the sum of its proper divisors (1785278112).

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

948950112 is a wasteful number, since it uses less digits than its factorization.

948950112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 948950112 is about 30805.0338743524. The cubic root of 948950112 is about 982.6853022156.

The spelling of 948950112 in words is "nine hundred forty-eight million, nine hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5381 5511 7348 8016 10762 11022 14696 16032 16143 21524 22044 29392 32286 43048 44088 58784 59191 64572 86096 88176 118382 129144 172192 176352 177573 236764 258288 355146 473528 516576 710292 898627 947056 1420584 1797254 1894112 2695881 2841168 3594508 5391762 5682336 7189016 9884897 10783524 14378032 19769794 21567048 28756064 29654691 39539588 43134096 59309382 79079176 86268192 118618764 158158352 237237528 316316704 474475056 948950112