Search a number
-
+
3574925952 = 273132311777
BaseRepresentation
bin1101010100010101…
…0000101010000000
3100020010212001110220
43111011100222000
524310140112302
61350423023040
7154406240433
oct32505205200
910203761426
103574925952
111574a52864
1283929aa80
1344c841300
1425cb0381a
1515dcac4bc
hexd5150a80

3574925952 has 192 divisors, whose sum is σ = 10620207360. Its totient is φ = 1063895040.

The previous prime is 3574925897. The next prime is 3574926001. The reversal of 3574925952 is 2595294753.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3574925895 and 3574925904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010888 + ... + 2012664.

It is an arithmetic number, because the mean of its divisors is an integer number (55313580).

Almost surely, 23574925952 is an apocalyptic number.

3574925952 is a gapful number since it is divisible by the number (32) 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 3574925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310103680).

3574925952 is an abundant number, since it is smaller than the sum of its proper divisors (7045281408).

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

3574925952 is a wasteful number, since it uses less digits than its factorization.

3574925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1826 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 51.

The square root of 3574925952 is about 59790.6844918170. The cubic root of 3574925952 is about 1529.0523346735.

It can be divided in two parts, 357492 and 5952, that multiplied together give a square (2127792384 = 461282).

The spelling of 3574925952 in words is "three billion, five hundred seventy-four million, nine hundred twenty-five thousand, nine hundred fifty-two".