Search a number
-
+
1064488656 = 2437111791609
BaseRepresentation
bin111111011100101…
…100111011010000
32202012000121220210
4333130230323100
54140002114111
6253343404120
735244001320
oct7734547320
92665017823
101064488656
114a69700a0
122585b3640
1313c6c925a
14a1537280
15636be0a6
hex3f72ced0

1064488656 has 160 divisors (see below), whose sum is σ = 3449779200. Its totient is φ = 274775040.

The previous prime is 1064488651. The next prime is 1064488669. The reversal of 1064488656 is 6568844601.

It is a super-2 number, since 2×10644886562 = 2266272197505372672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064488651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660780 + ... + 662388.

It is an arithmetic number, because the mean of its divisors is an integer number (21561120).

Almost surely, 21064488656 is an apocalyptic number.

1064488656 is a gapful number since it is divisible by the number (16) 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 1064488656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724889600).

1064488656 is an abundant number, since it is smaller than the sum of its proper divisors (2385290544).

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

1064488656 is a wasteful number, since it uses less digits than its factorization.

1064488656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 1064488656 is about 32626.5023562134. The cubic root of 1064488656 is about 1021.0500067759.

The spelling of 1064488656 in words is "one billion, sixty-four million, four hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 179 231 264 308 336 358 462 528 537 616 716 924 1074 1232 1253 1432 1609 1848 1969 2148 2506 2864 3218 3696 3759 3938 4296 4827 5012 5907 6436 7518 7876 8592 9654 10024 11263 11814 12872 13783 15036 15752 17699 19308 20048 22526 23628 25744 27566 30072 31504 33789 35398 38616 41349 45052 47256 53097 55132 60144 67578 70796 77232 82698 90104 94512 106194 110264 123893 135156 141592 165396 180208 212388 220528 247786 270312 283184 288011 330792 371679 424776 495572 540624 576022 661584 743358 849552 864033 991144 1152044 1486716 1728066 1982288 2016077 2304088 2973432 3168121 3456132 4032154 4608176 5946864 6048231 6336242 6912264 8064308 9504363 12096462 12672484 13824528 16128616 19008726 22176847 24192924 25344968 32257232 38017452 44353694 48385848 50689936 66530541 76034904 88707388 96771696 133061082 152069808 177414776 266122164 354829552 532244328 1064488656