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4807434464 = 25782126141
BaseRepresentation
bin1000111101000101…
…11010000011100000
3110102001000222022022
410132202322003200
534321200400324
62113012001012
7230063342630
oct43642720340
913361028268
104807434464
112047742738
12b22000168
135b7ca84a1
143386966c0
151d20ba05e
hex11e8ba0e0

4807434464 has 48 divisors (see below), whose sum is σ = 10830316896. Its totient is φ = 2057740800.

The previous prime is 4807434449. The next prime is 4807434481. The reversal of 4807434464 is 4644347084.

It is a super-3 number, since 3×48074344643 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170834 + ... + 196974.

It is an arithmetic number, because the mean of its divisors is an integer number (225631602).

Almost surely, 24807434464 is an apocalyptic number.

It is an amenable number.

4807434464 is an abundant number, since it is smaller than the sum of its proper divisors (6022882432).

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

4807434464 is a wasteful number, since it uses less digits than its factorization.

4807434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26979 (or 26971 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The square root of 4807434464 is about 69335.6651659159. The cubic root of 4807434464 is about 1687.7357799420.

The spelling of 4807434464 in words is "four billion, eight hundred seven million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 821 1642 3284 5747 6568 11494 13136 22988 26141 26272 45976 52282 91952 104564 182987 183904 209128 365974 418256 731948 836512 1463896 2927792 5855584 21461761 42923522 85847044 150232327 171694088 300464654 343388176 600929308 686776352 1201858616 2403717232 4807434464