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2058528 = 25341523
BaseRepresentation
bin111110110100100100000
310212120202210
413312210200
51011333103
6112042120
723332353
oct7664440
93776683
102058528
11118666a
12833340
13570c84
143b829a
152a9e03
hex1f6920

2058528 has 48 divisors (see below), whose sum is σ = 5546016. Its totient is φ = 668160.

The previous prime is 2058473. The next prime is 2058541. The reversal of 2058528 is 8258502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2058495 and 2058504.

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, 3675 + ... + 4197.

It is an arithmetic number, because the mean of its divisors is an integer number (115542).

22058528 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 2058528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773008).

2058528 is an abundant number, since it is smaller than the sum of its proper divisors (3487488).

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

2058528 is a wasteful number, since it uses less digits than its factorization.

2058528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2058528 is about 1434.7571223033. The cubic root of 2058528 is about 127.2093185689.

The spelling of 2058528 in words is "two million, fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 523 656 984 1046 1312 1569 1968 2092 3138 3936 4184 6276 8368 12552 16736 21443 25104 42886 50208 64329 85772 128658 171544 257316 343088 514632 686176 1029264 2058528