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4631364 = 2233193761
BaseRepresentation
bin10001101010101101000100
322201022001000
4101222231010
52141200424
6243133300
754236343
oct21525504
98638030
104631364
112683681
121674230
13c6206a
14887b5a
156173c9
hex46ab44

4631364 has 96 divisors (see below), whose sum is σ = 13193600. Its totient is φ = 1399680.

The previous prime is 4631359. The next prime is 4631371.

4631364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75894 + ... + 75954.

Almost surely, 24631364 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 4631364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596800).

4631364 is an abundant number, since it is smaller than the sum of its proper divisors (8562236).

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

4631364 is a wasteful number, since it uses less digits than its factorization.

4631364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 4631364 is about 2152.0604080741. The cubic root of 4631364 is about 166.6874765127.

The spelling of 4631364 in words is "four million, six hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 61 74 76 108 111 114 122 148 171 183 222 228 244 333 342 366 444 513 549 666 684 703 732 999 1026 1098 1159 1332 1406 1647 1998 2052 2109 2196 2257 2318 2812 3294 3477 3996 4218 4514 4636 6327 6588 6771 6954 8436 9028 10431 12654 13542 13908 18981 20313 20862 25308 27084 31293 37962 40626 41724 42883 60939 62586 75924 81252 85766 121878 125172 128649 171532 243756 257298 385947 514596 771894 1157841 1543788 2315682 4631364