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5349020652 = 223429571997
BaseRepresentation
bin1001111101101001…
…11001001111101100
3111210210010101220000
410332310321033230
541423322130102
62242440024300
7246360632253
oct47664711754
914723111800
105349020652
1122a5423428
121053462090
136732610a1
1438a59579a
152148ea01c
hex13ed393ec

5349020652 has 120 divisors (see below), whose sum is σ = 14505450960. Its totient is φ = 1716785280.

The previous prime is 5349020627. The next prime is 5349020659. The reversal of 5349020652 is 2560209435.

It is a super-2 number, since 2×53490206522 = 57224043871045010208, which contains 22 as substring.

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 (5349020659) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5364618 + ... + 5365614.

It is an arithmetic number, because the mean of its divisors is an integer number (120878758).

Almost surely, 25349020652 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 5349020652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252725480).

5349020652 is an abundant number, since it is smaller than the sum of its proper divisors (9156430308).

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

5349020652 is a wasteful number, since it uses less digits than its factorization.

5349020652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5349020652 is about 73136.9992001313. Note that the first 3 decimals coincide. The cubic root of 5349020652 is about 1748.8722695631.

The spelling of 5349020652 in words is "five billion, three hundred forty-nine million, twenty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 571 783 997 1044 1142 1566 1713 1994 2284 2349 2991 3132 3426 3988 4698 5139 5982 6852 8973 9396 10278 11964 15417 16559 17946 20556 26919 28913 30834 33118 35892 46251 49677 53838 57826 61668 66236 80757 86739 92502 99354 107676 115652 149031 161514 173478 185004 198708 260217 298062 323028 346956 447093 520434 569287 596124 780651 894186 1040868 1138574 1341279 1561302 1707861 1788372 2277148 2341953 2682558 3122604 3415722 4683906 5123583 5365116 6831444 9367812 10247166 15370749 16509323 20494332 30741498 33018646 46112247 49527969 61482996 66037292 92224494 99055938 148583907 184448988 198111876 297167814 445751721 594335628 891503442 1337255163 1783006884 2674510326 5349020652