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4245535125 = 325313432157
BaseRepresentation
bin1111110100001101…
…1011100110010101
3101221212201112022200
43331003123212111
532143324111000
61541140315113
7210131311266
oct37503334625
911855645280
104245535125
111889548417
129a59a2a99
1352875ca80
142c3bca96d
1519cac6500
hexfd0db995

4245535125 has 144 divisors (see below), whose sum is σ = 8491876848. Its totient is φ = 2028499200.

The previous prime is 4245535087. The next prime is 4245535139. The reversal of 4245535125 is 5215355424.

It can be written as a sum of positive squares in 8 ways, for example, as 2636000964 + 1609534161 = 51342^2 + 40119^2 .

It is not a de Polignac number, because 4245535125 - 29 = 4245534613 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4245535125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27041547 + ... + 27041703.

It is an arithmetic number, because the mean of its divisors is an integer number (58971367).

Almost surely, 24245535125 is an apocalyptic number.

4245535125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4245535125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4245535125 is a wasteful number, since it uses less digits than its factorization.

4245535125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 221 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 4245535125 is about 65157.7710254118. The cubic root of 4245535125 is about 1619.2384680915.

The spelling of 4245535125 in words is "four billion, two hundred forty-five million, five hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 43 45 65 75 117 125 129 157 195 215 225 325 375 387 471 559 585 645 785 975 1075 1125 1413 1625 1677 1849 1935 2041 2355 2795 2925 3225 3925 4875 5031 5375 5547 6123 6751 7065 8385 9245 9675 10205 11775 13975 14625 16125 16641 18369 19625 20253 24037 25155 27735 30615 33755 35325 41925 46225 48375 51025 58875 60759 69875 72111 83205 87763 91845 101265 120185 125775 138675 153075 168775 176625 209625 216333 231125 255125 263289 290293 303795 360555 416025 438815 459225 506325 600925 628875 693375 765375 789867 843875 870879 1081665 1316445 1451465 1518975 1802775 2080125 2194075 2296125 2531625 2612637 3004625 3773809 3949335 4354395 5408325 6582225 7257325 7594875 9013875 10970375 11321427 13063185 18869045 19746675 21771975 27041625 32911125 33964281 36286625 56607135 65315925 94345225 98733375 108859875 169821405 283035675 326579625 471726125 849107025 1415178375 4245535125