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4074000048 = 2432175316139
BaseRepresentation
bin1111001011010100…
…0100111010110000
3101111220221122102200
43302311010322300
531320421000143
61512131543200
7202646300106
oct36265047260
911456848380
104074000048
111800737598
1295845ab00
134cc060b21
142a90d7c76
1518c9e11d3
hexf2d44eb0

4074000048 has 60 divisors (see below), whose sum is σ = 11408752680. Its totient is φ = 1357141248.

The previous prime is 4074000043. The next prime is 4074000061. The reversal of 4074000048 is 8400004704.

4074000048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40740000482 = 33194952782208004608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4073999985 and 4074000030.

It is not an unprimeable number, because it can be changed into a prime (4074000043) 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, 244363 + ... + 260501.

It is an arithmetic number, because the mean of its divisors is an integer number (190145878).

Almost surely, 24074000048 is an apocalyptic number.

4074000048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4074000048 is an abundant number, since it is smaller than the sum of its proper divisors (7334752632).

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

4074000048 is a wasteful number, since it uses less digits than its factorization.

4074000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17906 (or 17897 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4074000048 is about 63827.8939649429. The cubic root of 4074000048 is about 1597.1302789320.

The spelling of 4074000048 in words is "four billion, seventy-four million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1753 3506 5259 7012 10518 14024 15777 16139 21036 28048 31554 32278 42072 48417 63108 64556 84144 96834 126216 129112 145251 193668 252432 258224 290502 387336 581004 774672 1162008 2324016 28291667 56583334 84875001 113166668 169750002 226333336 254625003 339500004 452666672 509250006 679000008 1018500012 1358000016 2037000024 4074000048