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5230405752 = 23311134137171
BaseRepresentation
bin1001101111100000…
…11010100001111000
3111111111221010211120
410313300122201320
541202440441002
62223001425240
7243420500235
oct46760324170
914444833746
105230405752
112244478290
12101b79b220
13654800760
1437891a78c
152092b9cbc
hex137c1a878

5230405752 has 128 divisors (see below), whose sum is σ = 15737137920. Its totient is φ = 1427328000.

The previous prime is 5230405727. The next prime is 5230405757. The reversal of 5230405752 is 2575040325.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5230405757) 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, 122127 + ... + 159297.

It is an arithmetic number, because the mean of its divisors is an integer number (122946390).

Almost surely, 25230405752 is an apocalyptic number.

5230405752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5230405752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868568960).

5230405752 is an abundant number, since it is smaller than the sum of its proper divisors (10506732168).

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

5230405752 is a wasteful number, since it uses less digits than its factorization.

5230405752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37245 (or 37241 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 5230405752 is about 72321.5441759923. The cubic root of 5230405752 is about 1735.8484005809.

The spelling of 5230405752 in words is "five billion, two hundred thirty million, four hundred five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 572 858 902 984 1066 1144 1353 1599 1716 1804 2132 2706 3198 3432 3608 4264 5412 5863 6396 10824 11726 12792 17589 23452 35178 37171 46904 70356 74342 111513 140712 148684 223026 297368 408881 446052 483223 817762 892104 966446 1226643 1449669 1524011 1635524 1932892 2453286 2899338 3048022 3271048 3865784 4572033 4906572 5315453 5798676 6096044 9144066 9813144 10630906 11597352 12192088 15946359 16764121 18288132 19812143 21261812 31892718 33528242 36576264 39624286 42523624 50292363 59436429 63785436 67056484 79248572 100584726 118872858 127570872 134112968 158497144 201169452 217933573 237745716 402338904 435867146 475491432 653800719 871734292 1307601438 1743468584 2615202876 5230405752