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4631412 = 2231773311
BaseRepresentation
bin10001101010101101110100
322201022002210
4101222231310
52141201122
6243133420
754236442
oct21525564
98638083
104631412
112683715
121674270
13c620a6
14887b92
1561740c
hex46ab74

4631412 has 48 divisors (see below), whose sum is σ = 11636352. Its totient is φ = 1428480.

The previous prime is 4631399. The next prime is 4631413. The reversal of 4631412 is 2141364.

It is a super-2 number, since 2×46314122 = 42899954227488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631413) 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, 14737 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (242424).

Almost surely, 24631412 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 4631412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818176).

4631412 is an abundant number, since it is smaller than the sum of its proper divisors (7004940).

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

4631412 is a wasteful number, since it uses less digits than its factorization.

4631412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4631412 is about 2152.0715601485. The cubic root of 4631412 is about 166.6880523669.

Adding to 4631412 its reverse (2141364), we get a palindrome (6772776).

The spelling of 4631412 in words is "four million, six hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 311 438 622 876 933 1241 1244 1866 2482 3723 3732 4964 5287 7446 10574 14892 15861 21148 22703 31722 45406 63444 68109 90812 136218 272436 385951 771902 1157853 1543804 2315706 4631412