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4082061024 = 253241523661
BaseRepresentation
bin1111001101001111…
…0100111011100000
3101112111010012000100
43303103310323200
531330001423044
61513020422400
7203104642356
oct36323647340
911474105010
104082061024
111805242958
1295b0a7a00
13500923c32
142aa1d57d6
1518d584869
hexf34f4ee0

4082061024 has 144 divisors (see below), whose sum is σ = 11932253424. Its totient is φ = 1322956800.

The previous prime is 4082061019. The next prime is 4082061031. The reversal of 4082061024 is 4201602804.

4082061024 is a `hidden beast` number, since 4 + 0 + 8 + 20 + 610 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175254 + ... + 6175914.

It is an arithmetic number, because the mean of its divisors is an integer number (82862871).

Almost surely, 24082061024 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 4082061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966126712).

4082061024 is an abundant number, since it is smaller than the sum of its proper divisors (7850192400).

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

4082061024 is a wasteful number, since it uses less digits than its factorization.

4082061024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4082061024 is about 63891.0089449212. The cubic root of 4082061024 is about 1598.1829664410.

Adding to 4082061024 its reverse (4201602804), we get a palindrome (8283663828).

The spelling of 4082061024 in words is "four billion, eighty-two million, sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 523 656 661 738 984 1046 1312 1322 1476 1569 1968 1983 2092 2644 2952 3138 3936 3966 4184 4707 5288 5904 5949 6276 7932 8368 9414 10576 11808 11898 12552 15864 16736 18828 21152 21443 23796 25104 27101 31728 37656 42886 47592 50208 54202 63456 64329 75312 81303 85772 95184 108404 128658 150624 162606 171544 190368 192987 216808 243909 257316 325212 343088 345703 385974 433616 487818 514632 650424 686176 691406 771948 867232 975636 1029264 1037109 1300848 1382812 1543896 1951272 2058528 2074218 2601696 2765624 3087792 3111327 3902544 4148436 5531248 6175584 6222654 7805088 8296872 11062496 12445308 14173823 16593744 24890616 28347646 33187488 42521469 49781232 56695292 85042938 99562464 113390584 127564407 170085876 226781168 255128814 340171752 453562336 510257628 680343504 1020515256 1360687008 2041030512 4082061024