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3974046048 = 253271971253
BaseRepresentation
bin1110110011011111…
…0010000101100000
3101020221212110022200
43230313302011200
531114323433143
61454201333200
7200323556040
oct35467620540
911227773280
103974046048
11175a277685
1292aa97200
134b443524b
14299b19720
15183d4a1d3
hexecdf2160

3974046048 has 72 divisors (see below), whose sum is σ = 12915656208. Its totient is φ = 1135441152.

The previous prime is 3974046047. The next prime is 3974046049. The reversal of 3974046048 is 8406404793.

3974046048 is a `hidden beast` number, since 39 + 7 + 4 + 0 + 4 + 604 + 8 = 666.

3974046048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3974046047) and next prime (3974046049).

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

It is a junction number, because it is equal to n+sod(n) for n = 3974045994 and 3974046012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974046047) 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, 983611 + ... + 987642.

It is an arithmetic number, because the mean of its divisors is an integer number (179384114).

Almost surely, 23974046048 is an apocalyptic number.

It is an amenable number.

3974046048 is an abundant number, since it is smaller than the sum of its proper divisors (8941610160).

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

3974046048 is a wasteful number, since it uses less digits than its factorization.

3974046048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971276 (or 1971265 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3974046048 is about 63040.0352791779. The cubic root of 3974046048 is about 1583.9603219323.

The spelling of 3974046048 in words is "three billion, nine hundred seventy-four million, forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1971253 3942506 5913759 7885012 11827518 13798771 15770024 17741277 23655036 27597542 31540048 35482554 41396313 47310072 55195084 63080096 70965108 82792626 94620144 110390168 124188939 141930216 165585252 189240288 220780336 248377878 283860432 331170504 441560672 496755756 567720864 662341008 993511512 1324682016 1987023024 3974046048