Search a number
-
+
5059776 = 26319273
BaseRepresentation
bin10011010011010011000000
3100112001201010
4103103103000
52243403101
6300240520
761002351
oct23232300
910461633
105059776
112946537
121840140
131082067
14959d28
1569e2d6
hex4d34c0

5059776 has 84 divisors (see below), whose sum is σ = 14322552. Its totient is φ = 1575936.

The previous prime is 5059771. The next prime is 5059783. The reversal of 5059776 is 6779505.

5059776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5059771) 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, 69276 + ... + 69348.

Almost surely, 25059776 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 5059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161276).

5059776 is an abundant number, since it is smaller than the sum of its proper divisors (9262776).

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

5059776 is a wasteful number, since it uses less digits than its factorization.

5059776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 5059776 is about 2249.3945852162. The cubic root of 5059776 is about 171.6763338048.

The spelling of 5059776 in words is "five million, fifty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 73 76 96 114 146 152 192 219 228 292 304 361 438 456 584 608 722 876 912 1083 1168 1216 1387 1444 1752 1824 2166 2336 2774 2888 3504 3648 4161 4332 4672 5548 5776 7008 8322 8664 11096 11552 14016 16644 17328 22192 23104 26353 33288 34656 44384 52706 66576 69312 79059 88768 105412 133152 158118 210824 266304 316236 421648 632472 843296 1264944 1686592 2529888 5059776