Search a number
-
+
3796483032 = 2332297125609
BaseRepresentation
bin1110001001001001…
…1011101111011000
3100210120202022122200
43202102123233120
530233344424112
61424415450200
7163036400436
oct34222335730
910716668580
103796483032
111679019991
1289b526960
13486705684
142802d7d56
15173473cdc
hexe249bbd8

3796483032 has 96 divisors (see below), whose sum is σ = 10786932000. Its totient is φ = 1204600320.

The previous prime is 3796483001. The next prime is 3796483037. The reversal of 3796483032 is 2303846973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3796483037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135444 + ... + 161052.

It is an arithmetic number, because the mean of its divisors is an integer number (112363875).

Almost surely, 23796483032 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 3796483032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393466000).

3796483032 is an abundant number, since it is smaller than the sum of its proper divisors (6990448968).

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

3796483032 is a wasteful number, since it uses less digits than its factorization.

3796483032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721 (or 25714 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3796483032 is about 61615.6070488638. The cubic root of 3796483032 is about 1560.0091814055.

The spelling of 3796483032 in words is "three billion, seven hundred ninety-six million, four hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 71 72 87 116 142 174 213 232 261 284 348 426 522 568 639 696 852 1044 1278 1704 2059 2088 2556 4118 5112 6177 8236 12354 16472 18531 24708 25609 37062 49416 51218 74124 76827 102436 148248 153654 204872 230481 307308 460962 614616 742661 921924 1485322 1818239 1843848 2227983 2970644 3636478 4455966 5454717 5941288 6683949 7272956 8911932 10909434 13367898 14545912 16364151 17823864 21818868 26735796 32728302 43637736 52728931 53471592 65456604 105457862 130913208 158186793 210915724 316373586 421831448 474560379 632747172 949120758 1265494344 1898241516 3796483032