Search a number
-
+
1019056404 = 223298335281
BaseRepresentation
bin111100101111011…
…001000100010100
32122000112102120210
4330233121010110
54041334301104
6245041525420
734152556632
oct7457310424
92560472523
101019056404
1148325a183
12245343870
1313317cc72
14994ac352
155e6e7989
hex3cbd9114

1019056404 has 48 divisors (see below), whose sum is σ = 2489497920. Its totient is φ = 324011520.

The previous prime is 1019056391. The next prime is 1019056411. The reversal of 1019056404 is 4046509101.

It is a happy number.

1019056404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10190564042 = 2076951909066822432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11244 + ... + 46524.

It is an arithmetic number, because the mean of its divisors is an integer number (51864540).

Almost surely, 21019056404 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 1019056404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244748960).

1019056404 is an abundant number, since it is smaller than the sum of its proper divisors (1470441516).

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

1019056404 is a wasteful number, since it uses less digits than its factorization.

1019056404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35400 (or 35398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1019056404 is about 31922.6628588531. The cubic root of 1019056404 is about 1006.3122068766.

The spelling of 1019056404 in words is "one billion, nineteen million, fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 12 29 58 83 87 116 166 174 249 332 348 498 996 2407 4814 7221 9628 14442 28884 35281 70562 105843 141124 211686 423372 1023149 2046298 2928323 3069447 4092596 5856646 6138894 8784969 11713292 12277788 17569938 35139876 84921367 169842734 254764101 339685468 509528202 1019056404