Search a number
-
+
4264825520 = 245831314903
BaseRepresentation
bin1111111000110100…
…0001001010110000
3102000020000120202202
43332031001022300
532213243404040
61543110002332
7210454263434
oct37615011260
912006016682
104264825520
11189942359a
129b03463a8
1352c7551c7
142c65ac9c4
1519e637015
hexfe3412b0

4264825520 has 80 divisors (see below), whose sum is σ = 10113852672. Its totient is φ = 1672170240.

The previous prime is 4264825493. The next prime is 4264825529. The reversal of 4264825520 is 255284624.

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

It is not an unprimeable number, because it can be changed into a prime (4264825529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867389 + ... + 872291.

Almost surely, 24264825520 is an apocalyptic number.

4264825520 is a gapful number since it is divisible by the number (40) 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 4264825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056926336).

4264825520 is an abundant number, since it is smaller than the sum of its proper divisors (5849027152).

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

4264825520 is a wasteful number, since it uses less digits than its factorization.

4264825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The square root of 4264825520 is about 65305.6316101452. The cubic root of 4264825520 is about 1621.6872022141.

The spelling of 4264825520 in words is "four billion, two hundred sixty-four million, eight hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 131 166 262 332 415 524 655 664 830 1048 1310 1328 1660 2096 2620 3320 4903 5240 6640 9806 10480 10873 19612 21746 24515 39224 43492 49030 54365 78448 86984 98060 108730 173968 196120 217460 392240 406949 434920 642293 813898 869840 1284586 1627796 2034745 2569172 3211465 3255592 4069490 5138344 6422930 6511184 8138980 10276688 12845860 16277960 25691720 32555920 51383440 53310319 106620638 213241276 266551595 426482552 533103190 852965104 1066206380 2132412760 4264825520