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5235440430 = 2351137521823
BaseRepresentation
bin1001110000000111…
…00111101100101110
3111111212101221010010
410320003213230232
541210233043210
62223301354050
7243511336503
oct47003475456
914455357103
105235440430
1122472a6980
121021408926
1365587425c
1437946b4aa
15209961920
hex1380e7b2e

5235440430 has 128 divisors (see below), whose sum is σ = 14121962496. Its totient is φ = 1231027200.

The previous prime is 5235440381. The next prime is 5235440437. The reversal of 5235440430 is 340445325.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235440437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6360999 + ... + 6361821.

It is an arithmetic number, because the mean of its divisors is an integer number (110327832).

Almost surely, 25235440430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060981248).

5235440430 is an abundant number, since it is smaller than the sum of its proper divisors (8886522066).

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

5235440430 is a wasteful number, since it uses less digits than its factorization.

5235440430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5235440430 is about 72356.3433984886. The cubic root of 5235440430 is about 1736.4051856268.

Adding to 5235440430 its reverse (340445325), we get a palindrome (5575885755).

The spelling of 5235440430 in words is "five billion, two hundred thirty-five million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 521 555 814 823 1042 1110 1221 1563 1646 2035 2442 2469 2605 3126 4070 4115 4938 5210 5731 6105 7815 8230 9053 11462 12210 12345 15630 17193 18106 19277 24690 27159 28655 30451 34386 38554 45265 54318 57310 57831 60902 85965 90530 91353 96385 115662 135795 152255 171930 182706 192770 212047 271590 289155 304510 334961 424094 428783 456765 578310 636141 669922 857566 913530 1004883 1060235 1272282 1286349 1674805 2009766 2120470 2143915 2572698 3180705 3349610 4287830 4716613 5024415 6361410 6431745 9433226 10048830 12863490 14149839 15864971 23583065 28299678 31729942 47166130 47594913 70749195 79324855 95189826 141498390 158649710 174514681 237974565 349029362 475949130 523544043 872573405 1047088086 1745146810 2617720215 5235440430