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3806421750 = 232539831721
BaseRepresentation
bin1110001011100001…
…0110001011110110
3100211021110021000100
43202320112023312
530243420444000
61425412454530
7163220023335
oct34270261366
910737407010
103806421750
111683697aaa
128a291a446
134887a5381
14281763d1c
15174288a00
hexe2e162f6

3806421750 has 96 divisors (see below), whose sum is σ = 10309021632. Its totient is φ = 1013424000.

The previous prime is 3806421739. The next prime is 3806421761. The reversal of 3806421750 is 571246083.

3806421750 is a `hidden beast` number, since 3 + 8 + 0 + 642 + 1 + 7 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3806421739) and next prime (3806421761).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2210890 + ... + 2212610.

It is an arithmetic number, because the mean of its divisors is an integer number (107385642).

Almost surely, 23806421750 is an apocalyptic number.

3806421750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806421750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154510816).

3806421750 is an abundant number, since it is smaller than the sum of its proper divisors (6502599882).

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

3806421750 is a wasteful number, since it uses less digits than its factorization.

3806421750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3806421750 is about 61696.2053128067. The cubic root of 3806421750 is about 1561.3692982327.

The spelling of 3806421750 in words is "three billion, eight hundred six million, four hundred twenty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 983 1125 1721 1966 2250 2949 3442 4915 5163 5898 8605 8847 9830 10326 14745 15489 17210 17694 24575 25815 29490 30978 43025 44235 49150 51630 73725 77445 86050 88470 122875 129075 147450 154890 215125 221175 245750 258150 368625 387225 430250 442350 645375 737250 774450 1105875 1290750 1691743 1936125 2211750 3383486 3872250 5075229 8458715 10150458 15225687 16917430 25376145 30451374 42293575 50752290 76128435 84587150 126880725 152256870 211467875 253761450 380642175 422935750 634403625 761284350 1268807250 1903210875 3806421750