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4025213568 = 27333833041
BaseRepresentation
bin1110111111101011…
…1110001010000000
3101101112011000222000
43233322332022000
531220423313233
61503230144000
7201514515345
oct35772761200
911345130860
104025213568
111786145592
12944052000
134c1c0bb9c
142a28387cc
151885a5d13
hexefebe280

4025213568 has 128 divisors (see below), whose sum is σ = 11914905600. Its totient is φ = 1337794560.

The previous prime is 4025213513. The next prime is 4025213587. The reversal of 4025213568 is 8653125204.

4025213568 is a `hidden beast` number, since 40 + 2 + 52 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40252135682 = 32404688536022581248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1322128 + ... + 1325168.

It is an arithmetic number, because the mean of its divisors is an integer number (93085200).

Almost surely, 24025213568 is an apocalyptic number.

4025213568 is a gapful number since it is divisible by the number (48) 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 4025213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957452800).

4025213568 is an abundant number, since it is smaller than the sum of its proper divisors (7889692032).

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

4025213568 is a wasteful number, since it uses less digits than its factorization.

4025213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4025213568 is about 63444.5708315534. The cubic root of 4025213568 is about 1590.7294054583.

The spelling of 4025213568 in words is "four billion, twenty-five million, two hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 383 384 432 576 766 864 1149 1152 1532 1728 2298 3041 3064 3447 3456 4596 6082 6128 6894 9123 9192 10341 12164 12256 13788 18246 18384 20682 24328 24512 27369 27576 36492 36768 41364 48656 49024 54738 55152 72984 73536 82107 82728 97312 109476 110304 145968 147072 164214 165456 194624 218952 220608 291936 328428 330912 389248 437904 441216 583872 656856 661824 875808 1164703 1167744 1313712 1323648 1751616 2329406 2627424 3494109 3503232 4658812 5254848 6988218 9317624 10482327 10509696 13976436 18635248 20964654 27952872 31446981 37270496 41929308 55905744 62893962 74540992 83858616 111811488 125787924 149081984 167717232 223622976 251575848 335434464 447245952 503151696 670868928 1006303392 1341737856 2012606784 4025213568