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2525355520 = 2951019767
BaseRepresentation
bin1001011010000101…
…1101111000000000
320111222220100111221
42112201131320000
520132442334040
61054331044424
7116403111352
oct22641357000
96458810457
102525355520
111086551a86
125a58a0714
1331326940c
1419d5710d2
15eba8874a
hex9685de00

2525355520 has 80 divisors (see below), whose sum is σ = 6115510368. Its totient is φ = 1000038400.

The previous prime is 2525355479. The next prime is 2525355533. The reversal of 2525355520 is 255535252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253677 + ... + 263443.

Almost surely, 22525355520 is an apocalyptic number.

2525355520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057755184).

2525355520 is an abundant number, since it is smaller than the sum of its proper divisors (3590154848).

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

2525355520 is an equidigital number, since it uses as much as digits as its factorization.

2525355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 34.

The square root of 2525355520 is about 50252.9155373099. The cubic root of 2525355520 is about 1361.7817477425.

The spelling of 2525355520 in words is "two billion, five hundred twenty-five million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1280 1616 2020 2560 3232 4040 6464 8080 9767 12928 16160 19534 25856 32320 39068 48835 51712 64640 78136 97670 129280 156272 195340 258560 312544 390680 625088 781360 986467 1250176 1562720 1972934 2500352 3125440 3945868 4932335 5000704 6250880 7891736 9864670 12501760 15783472 19729340 25003520 31566944 39458680 63133888 78917360 126267776 157834720 252535552 315669440 505071104 631338880 1262677760 2525355520