Search a number
-
+
3608097948 = 22327413319
BaseRepresentation
bin1101011100001111…
…0011010010011100
3100022110021100220100
43113003303102130
524342133113243
61354010021100
7155261220000
oct32703632234
910273240810
103608097948
11159174a434
12848417790
13456687000
1426329a700
15161b610d3
hexd70f349c

3608097948 has 360 divisors, whose sum is σ = 12132811600. Its totient is φ = 901502784.

The previous prime is 3608097947. The next prime is 3608097953. The reversal of 3608097948 is 8497908063.

It is a junction number, because it is equal to n+sod(n) for n = 3608097894 and 3608097903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3608097947) 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 119 ways as a sum of consecutive naturals, for example, 189899883 + ... + 189899901.

Almost surely, 23608097948 is an apocalyptic number.

3608097948 is a gapful number since it is divisible by the number (38) 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 3608097948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066405800).

3608097948 is an abundant number, since it is smaller than the sum of its proper divisors (8524713652).

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

3608097948 is a wasteful number, since it uses less digits than its factorization.

3608097948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3608097948 is about 60067.4449931075. Note that the first 3 decimals coincide. The cubic root of 3608097948 is about 1533.7671771519.

The spelling of 3608097948 in words is "three billion, six hundred eight million, ninety-seven thousand, nine hundred forty-eight".