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5232455460 = 2232535382349
BaseRepresentation
bin1001101111110000…
…01110111100100100
3111111122210021111200
410313320032330210
541204002033320
62223113402500
7243444065121
oct46770167444
914448707450
105232455460
112245648261
121020409430
1365506a6bb
14378cd1748
15209572290
hex137e0ef24

5232455460 has 72 divisors (see below), whose sum is σ = 15916937400. Its totient is φ = 1391351808.

The previous prime is 5232455447. The next prime is 5232455461. The reversal of 5232455460 is 645542325.

5232455460 is a `hidden beast` number, since 5 + 23 + 24 + 554 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 710968896 + 4521486564 = 26664^2 + 67242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5232455461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22366 + ... + 104714.

It is an arithmetic number, because the mean of its divisors is an integer number (221068575).

Almost surely, 25232455460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5232455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958468700).

5232455460 is an abundant number, since it is smaller than the sum of its proper divisors (10684481940).

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

5232455460 is a wasteful number, since it uses less digits than its factorization.

5232455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82717 (or 82712 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5232455460 is about 72335.7135860289. The cubic root of 5232455460 is about 1736.0751208936.

Adding to 5232455460 its reverse (645542325), we get a palindrome (5877997785).

The spelling of 5232455460 in words is "five billion, two hundred thirty-two million, four hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 63540 82349 164698 247047 329396 411745 494094 741141 823490 988188 1235235 1482282 1646980 2470470 2964564 3705705 4940940 7411410 14822820 29069197 58138394 87207591 116276788 145345985 174415182 261622773 290691970 348830364 436037955 523245546 581383940 872075910 1046491092 1308113865 1744151820 2616227730 5232455460