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4935340530 = 23451571972
BaseRepresentation
bin1001001100010101…
…10101000111110010
3110201221201021110000
410212022311013302
540101421344110
62133421250430
7233205462621
oct44612650762
913657637400
104935340530
11210296442a
12b58a03a16
1360863cb53
1434b66d6b8
151dd4331c0
hex1262b51f2

4935340530 has 120 divisors (see below), whose sum is σ = 13423244868. Its totient is φ = 1301069952.

The previous prime is 4935340511. The next prime is 4935340537. The reversal of 4935340530 is 350435394.

It is a happy number.

4935340530 is a `hidden beast` number, since 4 + 93 + 5 + 34 + 0 + 530 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4446355761 + 488984769 = 66681^2 + 22113^2 .

It is a super-2 number, since 2×49353405302 = 48715172294121361800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4935340537) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25052392 + ... + 25052588.

Almost surely, 24935340530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4935340530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711622434).

4935340530 is an abundant number, since it is smaller than the sum of its proper divisors (8487904338).

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

4935340530 is a wasteful number, since it uses less digits than its factorization.

4935340530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 4935340530 is about 70251.9788333396. The cubic root of 4935340530 is about 1702.5728665275.

The spelling of 4935340530 in words is "four billion, nine hundred thirty-five million, three hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 197 270 314 394 405 471 591 785 810 942 985 1182 1413 1570 1773 1970 2355 2826 2955 3546 4239 4710 5319 5910 7065 8478 8865 10638 12717 14130 15957 17730 21195 25434 26595 30929 31914 38809 42390 53190 61858 63585 77618 79785 92787 116427 127170 154645 159570 185574 194045 232854 278361 309290 349281 388090 463935 556722 582135 698562 835083 927870 1047843 1164270 1391805 1670166 1746405 2095686 2505249 2783610 3143529 3492810 4175415 5010498 5239215 6093013 6287058 8350830 10478430 12186026 12526245 15717645 18279039 25052490 30465065 31435290 36558078 54837117 60930130 91395195 109674234 164511351 182790390 274185585 329022702 493534053 548371170 822556755 987068106 1645113510 2467670265 4935340530