Search a number
-
+
4058748672 = 283114311173
BaseRepresentation
bin1111000111101011…
…1001011100000000
3101110212020210110220
43301322321130000
531303014424142
61510425023040
7202402536336
oct36172713400
911425223426
104058748672
1117a306aa50
12953324a80
134c8b50c44
142a7087b56
1518b4cc2ec
hexf1eb9700

4058748672 has 144 divisors (see below), whose sum is σ = 12059338368. Its totient is φ = 1201213440.

The previous prime is 4058748653. The next prime is 4058748697. The reversal of 4058748672 is 2768478504.

4058748672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357678 + ... + 368850.

Almost surely, 24058748672 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 4058748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029669184).

4058748672 is an abundant number, since it is smaller than the sum of its proper divisors (8000589696).

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

4058748672 is a wasteful number, since it uses less digits than its factorization.

4058748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The square root of 4058748672 is about 63708.3092853672. The cubic root of 4058748672 is about 1595.1347877301.

The spelling of 4058748672 in words is "four billion, fifty-eight million, seven hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 516 528 688 704 768 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2816 2838 3784 4128 4224 5504 5676 7568 8256 8448 11008 11173 11352 15136 16512 22346 22704 30272 33024 33519 44692 45408 60544 67038 89384 90816 121088 122903 134076 178768 181632 245806 268152 357536 363264 368709 480439 491612 536304 715072 737418 960878 983224 1072608 1430144 1441317 1474836 1921756 1966448 2145216 2860288 2882634 2949672 3843512 3932896 4290432 5284829 5765268 5899344 7687024 7865792 8580864 10569658 11530536 11798688 15374048 15731584 15854487 21139316 23061072 23597376 30748096 31463168 31708974 42278632 46122144 47194752 61496192 63417948 84557264 92244288 94389504 122992384 126835896 169114528 184488576 253671792 338229056 368977152 507343584 676458112 1014687168 1352916224 2029374336 4058748672