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4909649056 = 251331212281
BaseRepresentation
bin1001001001010001…
…10100110010100000
3110200011101000100221
410210220310302200
540023332232211
62131102452424
7232444220434
oct44450646240
913604330327
104909649056
11209a407004
12b50294114
13603215cb0
143480a29c4
151db05ac71
hex124a34ca0

4909649056 has 72 divisors (see below), whose sum is σ = 10756894932. Its totient is φ = 2192716800.

The previous prime is 4909649051. The next prime is 4909649071. The reversal of 4909649056 is 6509469094.

It can be written as a sum of positive squares in 2 ways, for example, as 4908403600 + 1245456 = 70060^2 + 1116^2 .

It is a super-2 number, since 2×49096490562 = 48209307706163382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 4909648994 and 4909649012.

It is not an unprimeable number, because it can be changed into a prime (4909649051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393636 + ... + 405916.

Almost surely, 24909649056 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 4909649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378447466).

4909649056 is an abundant number, since it is smaller than the sum of its proper divisors (5847245876).

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

4909649056 is a wasteful number, since it uses less digits than its factorization.

4909649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The square root of 4909649056 is about 70068.8879318061. The cubic root of 4909649056 is about 1699.6134133641.

The spelling of 4909649056 in words is "four billion, nine hundred nine million, six hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 961 992 1612 1922 3224 3844 6448 7688 12281 12493 12896 15376 24562 24986 30752 49124 49972 98248 99944 159653 196496 199888 319306 380711 392992 399776 638612 761422 1277224 1522844 2554448 3045688 4949243 5108896 6091376 9898486 11802041 12182752 19796972 23604082 39593944 47208164 79187888 94416328 153426533 158375776 188832656 306853066 377665312 613706132 1227412264 2454824528 4909649056