Search a number
-
+
3753085290 = 235536613571
BaseRepresentation
bin1101111110110011…
…1000100101101010
3100200120002111010220
43133230320211222
530141242212130
61420225350510
7162001461423
oct33754704552
910616074126
103753085290
111656578589
12888a98436
1347a71c436
1427863c64a
1516e750410
hexdfb3896a

3753085290 has 64 divisors (see below), whose sum is σ = 9193813632. Its totient is φ = 980179200.

The previous prime is 3753085289. The next prime is 3753085319. The reversal of 3753085290 is 925803573.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049205 + ... + 1052775.

It is an arithmetic number, because the mean of its divisors is an integer number (143653338).

Almost surely, 23753085290 is an apocalyptic number.

3753085290 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 3753085290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596906816).

3753085290 is an abundant number, since it is smaller than the sum of its proper divisors (5440728342).

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

3753085290 is a wasteful number, since it uses less digits than its factorization.

3753085290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295.

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 3753085290 is about 61262.4296775765. The cubic root of 3753085290 is about 1554.0422123299.

The spelling of 3753085290 in words is "three billion, seven hundred fifty-three million, eighty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 661 795 1322 1590 1983 3305 3571 3966 6610 7142 9915 10713 17855 19830 21426 35033 35710 53565 70066 105099 107130 175165 189263 210198 350330 378526 525495 567789 946315 1050990 1135578 1892630 2360431 2838945 4720862 5677890 7081293 11802155 14162586 23604310 35406465 70812930 125102843 250205686 375308529 625514215 750617058 1251028430 1876542645 3753085290