Search a number
-
+
4681234272 = 2531113340999
BaseRepresentation
bin1000101110000010…
…11111011101100000
3110002020120100012010
410113001133131200
534041343444042
62052303032520
7224001556221
oct42701373540
913066510163
104681234272
111a92486660
12aa789b740
13597ac0410
14325a05248
151c5e8c59c
hex11705f760

4681234272 has 96 divisors (see below), whose sum is σ = 14436576000. Its totient is φ = 1309432320.

The previous prime is 4681234249. The next prime is 4681234273. The reversal of 4681234272 is 2724321864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4681234272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681234273) 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, 156772 + ... + 184227.

It is an arithmetic number, because the mean of its divisors is an integer number (150381000).

Almost surely, 24681234272 is an apocalyptic number.

It is an amenable number.

4681234272 is an abundant number, since it is smaller than the sum of its proper divisors (9755341728).

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

4681234272 is a wasteful number, since it uses less digits than its factorization.

4681234272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341036 (or 341028 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4681234272 is about 68419.5459792010. The cubic root of 4681234272 is about 1672.8363565254.

The spelling of 4681234272 in words is "four billion, six hundred eighty-one million, two hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 340999 681998 1022997 1363996 2045994 2727992 3750989 4091988 4432987 5455984 7501978 8183976 8865974 10911968 11252967 13298961 15003956 16367952 17731948 22505934 26597922 30007912 32735904 35463896 45011868 48762857 53195844 60015824 70927792 90023736 97525714 106391688 120031648 141855584 146288571 180047472 195051428 212783376 292577142 360094944 390102856 425566752 585154284 780205712 1170308568 1560411424 2340617136 4681234272