Search a number
-
+
5349885528 = 23313149157733
BaseRepresentation
bin1001111101110000…
…01100011001011000
3111210211202100021110
410332320030121120
541424032314103
62242510340320
7246401163621
oct47670143130
914724670243
105349885528
1122a59641a9
1210537ba6a0
136734a4950
1438a73ca48
15214a1b403
hex13ee0c658

5349885528 has 128 divisors (see below), whose sum is σ = 14612472000. Its totient is φ = 1622439936.

The previous prime is 5349885521. The next prime is 5349885631. The reversal of 5349885528 is 8255889435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349885521) 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, 7298250 + ... + 7298982.

Almost surely, 25349885528 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 5349885528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306236000).

5349885528 is an abundant number, since it is smaller than the sum of its proper divisors (9262586472).

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

5349885528 is a wasteful number, since it uses less digits than its factorization.

5349885528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 57.

The square root of 5349885528 is about 73142.9116729707. The cubic root of 5349885528 is about 1748.9665220900.

The spelling of 5349885528 in words is "five billion, three hundred forty-nine million, eight hundred eighty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 157 298 312 314 447 471 596 628 733 894 942 1192 1256 1466 1788 1884 1937 2041 2199 2932 3576 3768 3874 4082 4398 5811 5864 6123 7748 8164 8796 9529 11622 12246 15496 16328 17592 19058 23244 23393 24492 28587 38116 46488 46786 48984 57174 70179 76232 93572 109217 114348 115081 140358 187144 218434 228696 230162 280716 304109 327651 345243 436868 460324 561432 608218 655302 690486 873736 912327 920648 1216436 1310604 1380972 1419821 1496053 1824654 2432872 2621208 2761944 2839642 2992106 3649308 4259463 4488159 5679284 5984212 7298616 8518926 8976318 11358568 11968424 17037852 17147069 17952636 34075704 34294138 35905272 51441207 68588276 102882414 137176552 205764828 222911897 411529656 445823794 668735691 891647588 1337471382 1783295176 2674942764 5349885528