Search a number
-
+
1064440992 = 253172392729
BaseRepresentation
bin111111011100100…
…001010010100000
32202011221012112110
4333130201102200
54134444102432
6253342355320
735243412336
oct7734412240
92664835473
101064440992
114a69382aa
1225858bb40
1313c6b0654
14a1523b56
15636aedcc
hex3f7214a0

1064440992 has 96 divisors (see below), whose sum is σ = 2971987200. Its totient is φ = 332423168.

The previous prime is 1064440991. The next prime is 1064440999. The reversal of 1064440992 is 2990444601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10644409922 = 2266069250899888128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064440992.

It is not an unprimeable number, because it can be changed into a prime (1064440991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388684 + ... + 391412.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 21064440992 is an apocalyptic number.

1064440992 is a gapful number since it is divisible by the number (12) 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 1064440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485993600).

1064440992 is an abundant number, since it is smaller than the sum of its proper divisors (1907546208).

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

1064440992 is a wasteful number, since it uses less digits than its factorization.

1064440992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1064440992 is about 32625.7718989145. The cubic root of 1064440992 is about 1021.0347668909.

The spelling of 1064440992 in words is "one billion, sixty-four million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 239 272 408 478 544 717 816 956 1434 1632 1912 2729 2868 3824 4063 5458 5736 7648 8126 8187 10916 11472 12189 16252 16374 21832 22944 24378 32504 32748 43664 46393 48756 65008 65496 87328 92786 97512 130016 130992 139179 185572 195024 261984 278358 371144 390048 556716 652231 742288 1113432 1304462 1484576 1956693 2226864 2608924 3913386 4453728 5217848 7826772 10435696 11087927 15653544 20871392 22175854 31307088 33263781 44351708 62614176 66527562 88703416 133055124 177406832 266110248 354813664 532220496 1064440992