Search a number
-
+
5352304032 = 2532291973253
BaseRepresentation
bin1001111110000010…
…11010110110100000
3111211000022012211200
410333001122312200
541430142212112
62243034241200
7246430555635
oct47701326640
914730265750
105352304032
1122a7266269
121054586200
13673b4070a
1438abac18c
15214d47cdc
hex13f05ada0

5352304032 has 144 divisors (see below), whose sum is σ = 15830254440. Its totient is φ = 1713309696.

The previous prime is 5352304019. The next prime is 5352304037. The reversal of 5352304032 is 2304032535.

5352304032 is a `hidden beast` number, since 5 + 352 + 304 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4889365776 + 462938256 = 69924^2 + 21516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5352303987 and 5352304005.

It is not an unprimeable number, because it can be changed into a prime (5352304037) 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, 1643718 + ... + 1646970.

Almost surely, 25352304032 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 5352304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915127220).

5352304032 is an abundant number, since it is smaller than the sum of its proper divisors (10477950408).

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

5352304032 is a wasteful number, since it uses less digits than its factorization.

5352304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5352304032 is about 73159.4425347815. The cubic root of 5352304032 is about 1749.2300321079.

Adding to 5352304032 its reverse (2304032535), we get a palindrome (7656336567).

The spelling of 5352304032 in words is "five billion, three hundred fifty-two million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 197 232 261 288 348 394 464 522 591 696 788 928 1044 1182 1392 1576 1773 2088 2364 2784 3152 3253 3546 4176 4728 5713 6304 6506 7092 8352 9456 9759 11426 13012 14184 17139 18912 19518 22852 26024 28368 29277 34278 39036 45704 51417 52048 56736 58554 68556 78072 91408 94337 102834 104096 117108 137112 156144 182816 188674 205668 234216 274224 283011 312288 377348 411336 468432 548448 566022 640841 754696 822672 849033 936864 1132044 1281682 1509392 1645344 1698066 1922523 2264088 2563364 3018784 3396132 3845046 4528176 5126728 5767569 6792264 7690092 9056352 10253456 11535138 13584528 15380184 18584389 20506912 23070276 27169056 30760368 37168778 46140552 55753167 61520736 74337556 92281104 111506334 148675112 167259501 184562208 223012668 297350224 334519002 446025336 594700448 669038004 892050672 1338076008 1784101344 2676152016 5352304032