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2575051572 = 2232371331397
BaseRepresentation
bin1001100101111100…
…0010101100110100
320122110102011200110
42121133002230310
520233203122242
61103304143020
7120545401662
oct23137025464
96573364613
102575051572
1111016053a5
125ba467a70
13320649372
141a5dc9c32
1510110339c
hex997c2b34

2575051572 has 96 divisors (see below), whose sum is σ = 6393268224. Its totient is φ = 804988800.

The previous prime is 2575051559. The next prime is 2575051573. The reversal of 2575051572 is 2751505752.

2575051572 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2575051572.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575051573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6486078 + ... + 6486474.

It is an arithmetic number, because the mean of its divisors is an integer number (66596544).

Almost surely, 22575051572 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 2575051572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196634112).

2575051572 is an abundant number, since it is smaller than the sum of its proper divisors (3818216652).

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

2575051572 is a wasteful number, since it uses less digits than its factorization.

2575051572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 122500, while the sum is 39.

The square root of 2575051572 is about 50744.9659769321. The cubic root of 2575051572 is about 1370.6565436098.

The spelling of 2575051572 in words is "two billion, five hundred seventy-five million, fifty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 331 397 426 662 794 852 993 1191 1324 1588 1633 1986 2382 3266 3972 4764 4899 6532 7613 9131 9798 15226 18262 19596 22839 23501 27393 28187 30452 36524 45678 47002 54786 56374 70503 84561 91356 94004 109572 112748 131407 141006 169122 262814 282012 338244 394221 525628 540523 648301 788442 1081046 1296602 1576884 1621569 1944903 2162092 2593204 3022361 3243138 3889806 6044722 6486276 7779612 9067083 9329897 12089444 18134166 18659794 27989691 36268332 37319588 55979382 111958764 214587631 429175262 643762893 858350524 1287525786 2575051572