Search a number
-
+
612017664 = 2931967313
BaseRepresentation
bin100100011110101…
…010011000000000
31120122121201101220
4210132222120000
52223134031124
6140421355040
721111031026
oct4436523000
91518551356
10612017664
11294516a25
12150b68a80
1399a4593b
145b3d4716
1538ae3879
hex247aa600

612017664 has 160 divisors (see below), whose sum is σ = 1747447680. Its totient is φ = 189775872.

The previous prime is 612017639. The next prime is 612017677. The reversal of 612017664 is 466710216.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1955172 + ... + 1955484.

It is an arithmetic number, because the mean of its divisors is an integer number (10921548).

Almost surely, 2612017664 is an apocalyptic number.

612017664 is a gapful number since it is divisible by the number (64) 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 612017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873723840).

612017664 is an abundant number, since it is smaller than the sum of its proper divisors (1135430016).

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

612017664 is a wasteful number, since it uses less digits than its factorization.

612017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 612017664 is about 24738.9907635700. The cubic root of 612017664 is about 849.0266431336.

The spelling of 612017664 in words is "six hundred twelve million, seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 128 134 152 192 201 228 256 268 304 313 384 402 456 512 536 608 626 768 804 912 939 1072 1216 1252 1273 1536 1608 1824 1878 2144 2432 2504 2546 3216 3648 3756 3819 4288 4864 5008 5092 5947 6432 7296 7512 7638 8576 9728 10016 10184 11894 12864 14592 15024 15276 17152 17841 20032 20368 20971 23788 25728 29184 30048 30552 34304 35682 40064 40736 41942 47576 51456 60096 61104 62913 71364 80128 81472 83884 95152 102912 120192 122208 125826 142728 160256 162944 167768 190304 240384 244416 251652 285456 325888 335536 380608 398449 480768 488832 503304 570912 651776 671072 761216 796898 977664 1006608 1141824 1195347 1342144 1522432 1593796 1955328 2013216 2283648 2390694 2684288 3044864 3187592 4026432 4567296 4781388 5368576 6375184 8052864 9134592 9562776 10737152 12750368 16105728 19125552 25500736 32211456 38251104 51001472 76502208 102002944 153004416 204005888 306008832 612017664