[go: up one dir, main page]

Search a number
-
+
5058528 = 253232979
BaseRepresentation
bin10011010010111111100000
3100111222222220
4103102333200
52243333103
6300231040
760665616
oct23227740
910458886
105058528
112945602
12183b480
131081617
149596b6
1569dc53
hex4d2fe0

5058528 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1537536.

The previous prime is 5058527. The next prime is 5058569. The reversal of 5058528 is 8258505.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058523) 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, 63993 + ... + 64071.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 25058528 is an apocalyptic number.

5058528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5058528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

5058528 is an abundant number, since it is smaller than the sum of its proper divisors (9456672).

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

5058528 is a wasteful number, since it uses less digits than its factorization.

5058528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 5058528 is about 2249.1171601319. The cubic root of 5058528 is about 171.6622179176.

The spelling of 5058528 in words is "five million, fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 79 87 92 96 116 138 158 174 184 232 237 276 316 348 368 464 474 552 632 667 696 736 928 948 1104 1264 1334 1392 1817 1896 2001 2208 2291 2528 2668 2784 3634 3792 4002 4582 5336 5451 6873 7268 7584 8004 9164 10672 10902 13746 14536 16008 18328 21344 21804 27492 29072 32016 36656 43608 52693 54984 58144 64032 73312 87216 105386 109968 158079 174432 210772 219936 316158 421544 632316 843088 1264632 1686176 2529264 5058528