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3806328500 = 225313976037
BaseRepresentation
bin1110001011011111…
…1111011010110100
3100211021021112002122
43202313333122310
530243410003000
61425410455112
7163216154432
oct34267773264
910737245078
103806328500
111683633a37
128a2894498
13488771ab0
1428173bd52
1517426b085
hexe2dff6b4

3806328500 has 96 divisors (see below), whose sum is σ = 9046276512. Its totient is φ = 1390694400.

The previous prime is 3806328473. The next prime is 3806328517. The reversal of 3806328500 is 58236083.

It can be written as a sum of positive squares in 16 ways, for example, as 3672602404 + 133726096 = 60602^2 + 11564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627482 + ... + 633518.

It is an arithmetic number, because the mean of its divisors is an integer number (94232047).

Almost surely, 23806328500 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 3806328500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523138256).

3806328500 is an abundant number, since it is smaller than the sum of its proper divisors (5239948012).

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

3806328500 is a wasteful number, since it uses less digits than its factorization.

3806328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 3806328500 is about 61695.4495890904. The cubic root of 3806328500 is about 1561.3565479486.

The spelling of 3806328500 in words is "three billion, eight hundred six million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 125 130 194 250 260 325 388 485 500 650 970 1261 1300 1625 1940 2425 2522 3250 4850 5044 6037 6305 6500 9700 12074 12125 12610 24148 24250 25220 30185 31525 48500 60370 63050 78481 120740 126100 150925 156962 157625 301850 313924 315250 392405 585589 603700 630500 754625 784810 1171178 1509250 1569620 1962025 2342356 2927945 3018500 3924050 5855890 7612657 7848100 9810125 11711780 14639725 15225314 19620250 29279450 30450628 38063285 39240500 58558900 73198625 76126570 146397250 152253140 190316425 292794500 380632850 761265700 951582125 1903164250 3806328500