Search a number
-
+
3604413152 = 25317334957
BaseRepresentation
bin1101011011010110…
…1111101011100000
3100022012100011022102
43112311233223200
524340212210102
61353355025532
7155215002104
oct32665575340
910265304272
103604413152
11158a662a4a
1284713b2a8
13455996a62
142629bb904
15161684402
hexd6d6fae0

3604413152 has 48 divisors (see below), whose sum is σ = 7336570752. Its totient is φ = 1741340160.

The previous prime is 3604413149. The next prime is 3604413167. The reversal of 3604413152 is 2513144063.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 724658 + ... + 729614.

It is an arithmetic number, because the mean of its divisors is an integer number (152845224).

Almost surely, 23604413152 is an apocalyptic number.

3604413152 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 3604413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668285376).

3604413152 is an abundant number, since it is smaller than the sum of its proper divisors (3732157600).

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

3604413152 is a wasteful number, since it uses less digits than its factorization.

3604413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3604413152 is about 60036.7650027881. The cubic root of 3604413152 is about 1533.2448757204.

The spelling of 3604413152 in words is "three billion, six hundred four million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 733 992 1466 2932 4957 5864 9914 11728 19828 22723 23456 39656 45446 79312 90892 153667 158624 181784 307334 363568 614668 727136 1229336 2458672 3633481 4917344 7266962 14533924 29067848 58135696 112637911 116271392 225275822 450551644 901103288 1802206576 3604413152