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656435164 = 227211289311
BaseRepresentation
bin100111001000000…
…110011111011100
31200202012100202111
4213020012133130
52321021411124
6145045403404
722160415100
oct4710063734
91622170674
10656435164
113075a4500
12163a09564
13a5cc8098
1463277900
153c969494
hex272067dc

656435164 has 108 divisors (see below), whose sum is σ = 1490121360. Its totient is φ = 252067200.

The previous prime is 656435107. The next prime is 656435173. The reversal of 656435164 is 461534656.

656435164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2110569 + ... + 2110879.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2656435164 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 656435164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745060680).

656435164 is an abundant number, since it is smaller than the sum of its proper divisors (833686196).

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

656435164 is a wasteful number, since it uses less digits than its factorization.

656435164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 656435164 is about 25620.9906912282. The cubic root of 656435164 is about 869.0883849641.

It can be divided in two parts, 65643 and 5164, that added together give a palindrome (70807).

The spelling of 656435164 in words is "six hundred fifty-six million, four hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 89 98 121 154 178 196 242 308 311 356 484 539 622 623 847 979 1078 1244 1246 1694 1958 2156 2177 2492 3388 3421 3916 4354 4361 5929 6842 6853 8708 8722 10769 11858 13684 13706 15239 17444 21538 23716 23947 27412 27679 30478 37631 43076 47894 47971 55358 60956 75262 75383 95788 95942 110716 150524 150766 167629 191884 193753 263417 301532 304469 335258 387506 526834 527681 608938 670516 775012 1053668 1055362 1217876 1356271 1843919 2110724 2131283 2712542 3349159 3687838 4262566 5425084 6698318 7375676 8525132 13396636 14918981 23444113 29837962 46888226 59675924 93776452 164108791 328217582 656435164