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2505797472 = 25337705461
BaseRepresentation
bin1001010101011011…
…0110111101100000
320110122002200220210
42111112312331200
520112441004342
61052351534120
7116044632663
oct22526667540
96418080823
102505797472
111076503802
1259b22a340
1330c1ac1c9
1419ab1d6da
15e9ec379c
hex955b6f60

2505797472 has 48 divisors (see below), whose sum is σ = 6755504112. Its totient is φ = 812689920.

The previous prime is 2505797471. The next prime is 2505797479. The reversal of 2505797472 is 2747975052.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505797471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349179 + ... + 356282.

It is an arithmetic number, because the mean of its divisors is an integer number (140739669).

Almost surely, 22505797472 is an apocalyptic number.

It is an amenable number.

2505797472 is an abundant number, since it is smaller than the sum of its proper divisors (4249706640).

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

2505797472 is a wasteful number, since it uses less digits than its factorization.

2505797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705511 (or 705503 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The square root of 2505797472 is about 50057.9411482334. The cubic root of 2505797472 is about 1358.2571157187.

The spelling of 2505797472 in words is "two billion, five hundred five million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 705461 1410922 2116383 2821844 4232766 5643688 8465532 11287376 16931064 22574752 26102057 33862128 52204114 67724256 78306171 104408228 156612342 208816456 313224684 417632912 626449368 835265824 1252898736 2505797472