Search a number
-
+
5236432640 = 28523917117
BaseRepresentation
bin1001110000001110…
…11001111100000000
3111111221021100011122
410320013121330000
541211011321030
62223334531412
7243522641315
oct47007317400
914457240148
105236432640
11224791438a
121021806b68
13655b30a6a
14379648d0c
15209aaa8e5
hex1381d9f00

5236432640 has 72 divisors (see below), whose sum is σ = 12596109120. Its totient is φ = 2085687296.

The previous prime is 5236432601. The next prime is 5236432651. The reversal of 5236432640 is 462346325.

It is a self number, because there is not a number n which added to its sum of digits gives 5236432640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297362 + ... + 314478.

It is an arithmetic number, because the mean of its divisors is an integer number (174945960).

Almost surely, 25236432640 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 5236432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298054560).

5236432640 is an abundant number, since it is smaller than the sum of its proper divisors (7359676480).

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

5236432640 is a wasteful number, since it uses less digits than its factorization.

5236432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17377 (or 17363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The square root of 5236432640 is about 72363.1994870321. The cubic root of 5236432640 is about 1736.5148720218.

Adding to 5236432640 its reverse (462346325), we get a palindrome (5698778965).

The spelling of 5236432640 in words is "five billion, two hundred thirty-six million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 478 640 956 1195 1280 1912 2390 3824 4780 7648 9560 15296 17117 19120 30592 34234 38240 61184 68468 76480 85585 136936 152960 171170 273872 305920 342340 547744 684680 1095488 1369360 2190976 2738720 4090963 4381952 5477440 8181926 10954880 16363852 20454815 21909760 32727704 40909630 65455408 81819260 130910816 163638520 261821632 327277040 523643264 654554080 1047286528 1309108160 2618216320 5236432640