Search a number
-
+
3780898464 = 2537171917419
BaseRepresentation
bin1110000101011011…
…1110111010100000
3100202111102112122110
43201112332322200
530220402222324
61423101435320
7162460051410
oct34126767240
910674375573
103780898464
111670244a82
1289626bb40
13483409c35
1427c1dc640
15171de6329
hexe15beea0

3780898464 has 192 divisors, whose sum is σ = 12642739200. Its totient is φ = 963145728.

The previous prime is 3780898439. The next prime is 3780898469. The reversal of 3780898464 is 4648980873.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3780898469) 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 31 ways as a sum of consecutive naturals, for example, 208347 + ... + 225765.

It is an arithmetic number, because the mean of its divisors is an integer number (65847600).

Almost surely, 23780898464 is an apocalyptic number.

3780898464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780898464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321369600).

3780898464 is an abundant number, since it is smaller than the sum of its proper divisors (8861840736).

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

3780898464 is a wasteful number, since it uses less digits than its factorization.

3780898464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475 (or 17467 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The square root of 3780898464 is about 61489.0109206515. The cubic root of 3780898464 is about 1557.8716405935.

The spelling of 3780898464 in words is "three billion, seven hundred eighty million, eight hundred ninety-eight thousand, four hundred sixty-four".