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4634896 = 247291427
BaseRepresentation
bin10001101011100100010000
322201110212211
4101223210100
52141304041
6243201504
754252550
oct21534420
98643784
104634896
1126862a2
121676294
13c63856
14889160
15618481
hex46b910

4634896 has 40 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 1916544.

The previous prime is 4634881. The next prime is 4634899. The reversal of 4634896 is 6984364.

4634896 = T104 + T105 + ... + T306.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2535 + ... + 3961.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 24634896 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 4634896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

4634896 is an abundant number, since it is smaller than the sum of its proper divisors (5989424).

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

4634896 is a wasteful number, since it uses less digits than its factorization.

4634896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 4634896 is about 2152.8808606144. The cubic root of 4634896 is about 166.7298391635.

The spelling of 4634896 in words is "four million, six hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1427 1624 2854 3248 5708 9989 11416 19978 22832 39956 41383 79912 82766 159824 165532 289681 331064 579362 662128 1158724 2317448 4634896