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2525370500 = 225353233409
BaseRepresentation
bin1001011010000110…
…0001100010000100
320111222221010001202
42112201201202010
520132443324000
61054331242032
7116403203132
oct22641414204
96458833052
102525370500
111086562264
125a58a9318
13313273193
1419d576752
15eba8cdd5
hex96861884

2525370500 has 96 divisors (see below), whose sum is σ = 5657389920. Its totient is φ = 984422400.

The previous prime is 2525370479. The next prime is 2525370517. The reversal of 2525370500 is 50735252.

It can be written as a sum of positive squares in 16 ways, for example, as 1297008196 + 1228362304 = 36014^2 + 35048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6174296 + ... + 6174704.

It is an arithmetic number, because the mean of its divisors is an integer number (58931145).

Almost surely, 22525370500 is an apocalyptic number.

2525370500 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 2525370500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828694960).

2525370500 is an abundant number, since it is smaller than the sum of its proper divisors (3132019420).

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

2525370500 is a wasteful number, since it uses less digits than its factorization.

2525370500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 2525370500 is about 50253.0645831675. The cubic root of 2525370500 is about 1361.7844403601.

The spelling of 2525370500 in words is "two billion, five hundred twenty-five million, three hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 233 250 265 409 466 500 530 818 932 1060 1165 1325 1636 2045 2330 2650 4090 4660 5300 5825 6625 8180 10225 11650 12349 13250 20450 21677 23300 24698 26500 29125 40900 43354 49396 51125 58250 61745 86708 95297 102250 108385 116500 123490 190594 204500 216770 246980 308725 381188 433540 476485 541925 617450 952970 1083850 1234900 1543625 1905940 2167700 2382425 2709625 3087250 4764850 5050741 5419250 6174500 9529700 10101482 10838500 11912125 20202964 23824250 25253705 47648500 50507410 101014820 126268525 252537050 505074100 631342625 1262685250 2525370500