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2505262428 = 2232212932687
BaseRepresentation
bin1001010101010011…
…0100010101011100
320110121002111222100
42111110310111130
520112321344203
61052332245100
7116040244044
oct22524642534
96417074870
102505262428
111076178819
1259b010790
1330c052806
1419aa20724
15e9e19ea3
hex9553455c

2505262428 has 36 divisors (see below), whose sum is σ = 6335915040. Its totient is φ = 834669696.

The previous prime is 2505262393. The next prime is 2505262429. The reversal of 2505262428 is 8242625052.

2505262428 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 2 + 624 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2505262392 and 2505262401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505262429) 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, 60301 + ... + 92987.

It is an arithmetic number, because the mean of its divisors is an integer number (175997640).

Almost surely, 22505262428 is an apocalyptic number.

It is an amenable number.

2505262428 is an abundant number, since it is smaller than the sum of its proper divisors (3830652612).

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

2505262428 is a wasteful number, since it uses less digits than its factorization.

2505262428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34826 (or 34821 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2505262428 is about 50052.5966159599. The cubic root of 2505262428 is about 1358.1604360444.

The spelling of 2505262428 in words is "two billion, five hundred five million, two hundred sixty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2129 4258 6387 8516 12774 19161 25548 32687 38322 65374 76644 98061 130748 196122 294183 392244 588366 1176732 69590623 139181246 208771869 278362492 417543738 626315607 835087476 1252631214 2505262428