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3954303648 = 253231743313
BaseRepresentation
bin1110101110110001…
…1110001010100000
3101012120201102211200
43223230132022200
531044300204043
61452214241200
7166664012031
oct35354361240
911176642750
103954303648
11174a112949
12924356200
134b0312159
1429725aa88
1518224a7d3
hexebb1e2a0

3954303648 has 72 divisors (see below), whose sum is σ = 11280784788. Its totient is φ = 1313912832.

The previous prime is 3954303641. The next prime is 3954303677. The reversal of 3954303648 is 8463034593.

3954303648 is a `hidden beast` number, since 39 + 543 + 0 + 36 + 48 = 666.

3954303648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3925273104 + 29030544 = 62652^2 + 5388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×39543036482 = 31273034681172215808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3954303641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69640 + ... + 112952.

Almost surely, 23954303648 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 3954303648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640392394).

3954303648 is an abundant number, since it is smaller than the sum of its proper divisors (7326481140).

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

3954303648 is a wasteful number, since it uses less digits than its factorization.

3954303648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43646 (or 43635 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3954303648 is about 62883.2541142712. The cubic root of 3954303648 is about 1581.3330159398. Note that the first 3 decimals are identical.

The spelling of 3954303648 in words is "three billion, nine hundred fifty-four million, three hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 22824 30432 43313 45648 86626 91296 129939 173252 259878 346504 389817 519756 693008 779634 1039512 1386016 1559268 2079024 3118536 4158048 6237072 12474144 13730221 27460442 41190663 54920884 82381326 109841768 123571989 164762652 219683536 247143978 329525304 439367072 494287956 659050608 988575912 1318101216 1977151824 3954303648