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3682125750 = 235331158371
BaseRepresentation
bin1101101101111000…
…1100011110110110
3100111121120100221210
43123132030132312
530020111011000
61405212422250
7160150360332
oct33336143666
910447510853
103682125750
11161a511636
12869177986
13468b05c44
1426d04a7c2
151683d5350
hexdb78c7b6

3682125750 has 64 divisors (see below), whose sum is σ = 9487116288. Its totient is φ = 950220000.

The previous prime is 3682125731. The next prime is 3682125751. The reversal of 3682125750 is 575212863.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3682125699 and 3682125708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682125751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55936 + ... + 102435.

It is an arithmetic number, because the mean of its divisors is an integer number (148236192).

Almost surely, 23682125750 is an apocalyptic number.

3682125750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3682125750 is an abundant number, since it is smaller than the sum of its proper divisors (5804990538).

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

3682125750 is a wasteful number, since it uses less digits than its factorization.

3682125750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158422 (or 158412 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 3682125750 is about 60680.5219984140. The cubic root of 3682125750 is about 1544.1857441063.

The spelling of 3682125750 in words is "three billion, six hundred eighty-two million, one hundred twenty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 125 150 155 186 250 310 375 465 750 775 930 1550 2325 3875 4650 7750 11625 23250 158371 316742 475113 791855 950226 1583710 2375565 3959275 4751130 4909501 7918550 9819002 11877825 14728503 19796375 23755650 24547505 29457006 39592750 49095010 59389125 73642515 118778250 122737525 147285030 245475050 368212575 613687625 736425150 1227375250 1841062875 3682125750