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2528372250 = 232532938749
BaseRepresentation
bin1001011010110011…
…1110011000011010
320112012120121200200
42112230332120122
520134230403000
61054515443030
7116440544445
oct22654763032
96465517620
102528372250
111088222548
125a68b6476
13313a84571
1419db1865c
15ebe82500
hex96b3e61a

2528372250 has 96 divisors (see below), whose sum is σ = 7072650000. Its totient is φ = 650966400.

The previous prime is 2528372227. The next prime is 2528372251. The reversal of 2528372250 is 522738252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93837969 + 2434534281 = 9687^2 + 49341^2 .

It is not an unprimeable number, because it can be changed into a prime (2528372251) 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 47 ways as a sum of consecutive naturals, for example, 45876 + ... + 84624.

Almost surely, 22528372250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528372250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536325000).

2528372250 is an abundant number, since it is smaller than the sum of its proper divisors (4544277750).

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

2528372250 is a wasteful number, since it uses less digits than its factorization.

2528372250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38801 (or 38788 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2528372250 is about 50282.9220511298. The cubic root of 2528372250 is about 1362.3237827259.

The spelling of 2528372250 in words is "two billion, five hundred twenty-eight million, three hundred seventy-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 125 145 150 174 225 250 261 290 375 435 450 522 725 750 870 1125 1305 1450 2175 2250 2610 3625 4350 6525 7250 10875 13050 21750 32625 38749 65250 77498 116247 193745 232494 348741 387490 581235 697482 968725 1123721 1162470 1743705 1937450 2247442 2906175 3371163 3487410 4843625 5618605 5812350 6742326 8718525 9687250 10113489 11237210 14530875 16855815 17437050 20226978 28093025 29061750 33711630 43592625 50567445 56186050 84279075 87185250 101134890 140465125 168558150 252837225 280930250 421395375 505674450 842790750 1264186125 2528372250