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2575321920 = 26325894209
BaseRepresentation
bin1001100110000000…
…0100101101000000
320122110220220112100
42121200010231000
520233240300140
61103314030400
7120550606113
oct23140045500
96573826470
102575321920
11110177a526
125ba578400
13320712432
141a605a57a
15101158530
hex99804b40

2575321920 has 84 divisors (see below), whose sum is σ = 8858044260. Its totient is φ = 686751744.

The previous prime is 2575321909. The next prime is 2575321927. The reversal of 2575321920 is 291235752.

It can be written as a sum of positive squares in 2 ways, for example, as 1818851904 + 756470016 = 42648^2 + 27504^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575321927) 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, 444225 + ... + 449984.

Almost surely, 22575321920 is an apocalyptic number.

2575321920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2575321920 is an abundant number, since it is smaller than the sum of its proper divisors (6282722340).

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

2575321920 is a wasteful number, since it uses less digits than its factorization.

2575321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894232 (or 894219 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2575321920 is about 50747.6296983416. The cubic root of 2575321920 is about 1370.7045091589.

The spelling of 2575321920 in words is "two billion, five hundred seventy-five million, three hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 894209 1788418 2682627 3576836 4471045 5365254 7153672 8047881 8942090 10730508 13413135 14307344 16095762 17884180 21461016 26826270 28614688 32191524 35768360 40239405 42922032 53652540 57229376 64383048 71536720 80478810 85844064 107305080 128766096 143073440 160957620 171688128 214610160 257532192 286146880 321915240 429220320 515064384 643830480 858440640 1287660960 2575321920