Search a number
-
+
5309503488 = 211321915161
BaseRepresentation
bin1001111000111100…
…01001100000000000
3111201000202201112100
410330132021200000
541333213102423
62234505030400
7245401015002
oct47436114000
914630681470
105309503488
112285092613
121042185400
13668006253
1438522a372
152111e1343
hex13c789800

5309503488 has 144 divisors (see below), whose sum is σ = 16142981400. Its totient is φ = 1676574720.

The previous prime is 5309503477. The next prime is 5309503489. The reversal of 5309503488 is 8843059035.

It is a happy number.

5309503488 is a `hidden beast` number, since 530 + 9 + 5 + 0 + 34 + 88 = 666.

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

It is a super-2 number, since 2×53095034882 = 56381654578168332288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309503489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342628 + ... + 357788.

Almost surely, 25309503488 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 5309503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071490700).

5309503488 is an abundant number, since it is smaller than the sum of its proper divisors (10833477912).

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

5309503488 is a wasteful number, since it uses less digits than its factorization.

5309503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5309503488 is about 72866.3398833783. The cubic root of 5309503488 is about 1744.5548833352.

The spelling of 5309503488 in words is "five billion, three hundred nine million, five hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 15161 18432 19456 21888 29184 30322 38912 43776 45483 58368 60644 87552 90966 116736 121288 136449 175104 181932 242576 272898 288059 350208 363864 485152 545796 576118 727728 864177 970304 1091592 1152236 1455456 1728354 1940608 2183184 2304472 2592531 2910912 3456708 3881216 4366368 4608944 5185062 5821824 6913416 7762432 8732736 9217888 10370124 11643648 13826832 15524864 17465472 18435776 20740248 23287296 27653664 31049728 34930944 36871552 41480496 46574592 55307328 69861888 73743104 82960992 93149184 110614656 139723776 147486208 165921984 221229312 279447552 294972416 331843968 442458624 589944832 663687936 884917248 1327375872 1769834496 2654751744 5309503488