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3825459136 = 261729263461
BaseRepresentation
bin1110010000000011…
…1101111111000000
3100212121021110101201
43210000331333000
530313304143021
61431332510544
7163540603042
oct34400757700
910777243351
103825459136
111693410084
128a917b454
1348c70c5b5
142840bba92
15175c99591
hexe403dfc0

3825459136 has 112 divisors (see below), whose sum is σ = 8364565440. Its totient is φ = 1727774720.

The previous prime is 3825459103. The next prime is 3825459139. The reversal of 3825459136 is 6319545283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825459139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8297946 + ... + 8298406.

It is an arithmetic number, because the mean of its divisors is an integer number (74683620).

Almost surely, 23825459136 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 3825459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182282720).

3825459136 is an abundant number, since it is smaller than the sum of its proper divisors (4539106304).

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

3825459136 is a wasteful number, since it uses less digits than its factorization.

3825459136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 3825459136 is about 61850.2961674397. The cubic root of 3825459136 is about 1563.9679744360.

The spelling of 3825459136 in words is "three billion, eight hundred twenty-five million, four hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 263 272 461 464 493 526 544 922 928 986 1052 1088 1844 1856 1972 2104 3688 3944 4208 4471 7376 7627 7837 7888 8416 8942 13369 14752 15254 15674 15776 16832 17884 26738 29504 30508 31348 31552 35768 53476 61016 62696 71536 106952 121243 122032 125392 129659 143072 213904 227273 242486 244064 250784 259318 286144 427808 454546 484972 488128 501568 518636 855616 909092 969944 1037272 1818184 1939888 2061131 2074544 3516047 3636368 3879776 4122262 4149088 7032094 7272736 7759552 8244524 8298176 14064188 14545472 16489048 28128376 32978096 56256752 59772799 65956192 112513504 119545598 131912384 225027008 239091196 478182392 956364784 1912729568 3825459136