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466872740 = 22529241677
BaseRepresentation
bin11011110100111…
…110100110100100
31012112111120222222
4123310332212210
51424004411430
6114154411512
714366232005
oct3364764644
91175446888
10466872740
1121a5a0444
12110430b98
1375956879
14460111ac
152aec29e5
hex1bd3e9a4

466872740 has 72 divisors (see below), whose sum is σ = 1041709032. Its totient is φ = 175651840.

The previous prime is 466872733. The next prime is 466872767. The reversal of 466872740 is 47278664.

It can be written as a sum of positive squares in 12 ways, for example, as 60124516 + 406748224 = 7754^2 + 20168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 466872691 and 466872700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689282 + ... + 689958.

It is an arithmetic number, because the mean of its divisors is an integer number (14468181).

Almost surely, 2466872740 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 466872740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520854516).

466872740 is an abundant number, since it is smaller than the sum of its proper divisors (574836292).

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

466872740 is a wasteful number, since it uses less digits than its factorization.

466872740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 466872740 is about 21607.2381391051. The cubic root of 466872740 is about 775.7697464913.

It can be divided in two parts, 46 and 6872740, that added together give a palindrome (6872786).

The spelling of 466872740 in words is "four hundred sixty-six million, eight hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 677 820 841 1189 1354 1682 2378 2708 3364 3385 4205 4756 5945 6770 8410 11890 13540 16820 19633 23780 27757 34481 39266 55514 68962 78532 98165 111028 137924 138785 172405 196330 277570 344810 392660 555140 569357 689620 804953 1138714 1609906 2277428 2846785 3219812 4024765 5693570 8049530 11387140 16099060 23343637 46687274 93374548 116718185 233436370 466872740