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949149900 = 223452373167
BaseRepresentation
bin111000100100101…
…110000011001100
32110010222210220000
4320210232003030
53420440244100
6234103324300
732343432606
oct7044560314
92403883800
10949149900
11447852406
12225a50690
13121844b7a
14900b2176
15584d9900
hex3892e0cc

949149900 has 180 divisors, whose sum is σ = 3160922688. Its totient is φ = 246188160.

The previous prime is 949149893. The next prime is 949149989. The reversal of 949149900 is 9941949.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 298117 + ... + 301283.

Almost surely, 2949149900 is an apocalyptic number.

949149900 is a gapful number since it is divisible by the number (90) 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 949149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580461344).

949149900 is an abundant number, since it is smaller than the sum of its proper divisors (2211772788).

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

949149900 is a wasteful number, since it uses less digits than its factorization.

949149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 949149900 is about 30808.2764853862. The cubic root of 949149900 is about 982.7542608652.

The spelling of 949149900 in words is "nine hundred forty-nine million, one hundred forty-nine thousand, nine hundred".