Search a number
-
+
5352372012 = 223131132111439
BaseRepresentation
bin1001111110000011…
…01011011100101100
3111211000102200002110
410333001223130230
541430201401022
62243035524020
7246431261061
oct47701533454
914730380073
105352372012
1122a7302349
1210545b9610
13673b65640
1438abc8c68
15214d5d00c
hex13f06b72c

5352372012 has 96 divisors (see below), whose sum is σ = 13642352640. Its totient is φ = 1623444480.

The previous prime is 5352371993. The next prime is 5352372017. The reversal of 5352372012 is 2102732535.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5352372017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3718789 + ... + 3720227.

It is an arithmetic number, because the mean of its divisors is an integer number (142107840).

Almost surely, 25352372012 is an apocalyptic number.

5352372012 is a gapful number since it is divisible by the number (52) 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 5352372012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6821176320).

5352372012 is an abundant number, since it is smaller than the sum of its proper divisors (8289980628).

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

5352372012 is a wasteful number, since it uses less digits than its factorization.

5352372012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5352372012 is about 73159.9071349875. The cubic root of 5352372012 is about 1749.2374377755.

The spelling of 5352372012 in words is "five billion, three hundred fifty-two million, three hundred seventy-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 211 226 339 422 452 633 678 844 1266 1356 1439 1469 2532 2743 2878 2938 4317 4407 5486 5756 5876 8229 8634 8814 10972 16458 17268 17628 18707 23843 32916 37414 47686 56121 71529 74828 95372 112242 143058 162607 224484 286116 303629 309959 325214 487821 607258 619918 650428 910887 929877 975642 1214516 1239836 1821774 1859754 1951284 2113891 3643548 3719508 3947177 4227782 6341673 7894354 8455564 11841531 12683346 15788708 23683062 25366692 34310077 47366124 68620154 102930231 137240308 205860462 411720924 446031001 892062002 1338093003 1784124004 2676186006 5352372012