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3976458048 = 26337929129
BaseRepresentation
bin1110110100000011…
…1110111101000000
3101021010101222222000
43231000332331000
531120433124143
61454325144000
7200353223103
oct35500767500
911233358860
103976458048
111760674872
1292b85b000
134b4a9b074
1429a18673a
15184174bd3
hexed03ef40

3976458048 has 112 divisors (see below), whose sum is σ = 11838432000. Its totient is φ = 1308662784.

The previous prime is 3976458023. The next prime is 3976458089. The reversal of 3976458048 is 8408546793.

3976458048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3976457985 and 3976458003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121948 + ... + 151076.

Almost surely, 23976458048 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 3976458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919216000).

3976458048 is an abundant number, since it is smaller than the sum of its proper divisors (7861973952).

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

3976458048 is a wasteful number, since it uses less digits than its factorization.

3976458048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29229 (or 29213 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3976458048 is about 63059.1630772246. The cubic root of 3976458048 is about 1584.2807124171.

The spelling of 3976458048 in words is "three billion, nine hundred seventy-six million, four hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8532 11376 15168 17064 22752 29129 34128 45504 58258 68256 87387 116516 136512 174774 233032 262161 349548 466064 524322 699096 786483 932128 1048644 1398192 1572966 1864256 2097288 2301191 2796384 3145932 4194576 4602382 5592768 6291864 6903573 8389152 9204764 12583728 13807146 16778304 18409528 20710719 25167456 27614292 36819056 41421438 50334912 55228584 62132157 73638112 82842876 110457168 124264314 147276224 165685752 220914336 248528628 331371504 441828672 497057256 662743008 994114512 1325486016 1988229024 3976458048