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5235200152 = 2371337263739
BaseRepresentation
bin1001110000000101…
…01101000010011000
3111111211221201111221
410320002231002120
541210202401102
62223252301424
7243506316130
oct47002550230
914454851457
105235200152
1122471523a6
121021311874
136557bba90
14379407ac0
15209915637
hex1380ad098

5235200152 has 128 divisors (see below), whose sum is σ = 12471782400. Its totient is φ = 2004715008.

The previous prime is 5235200149. The next prime is 5235200171. The reversal of 5235200152 is 2510025325.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7083799 + ... + 7084537.

It is an arithmetic number, because the mean of its divisors is an integer number (97435800).

Almost surely, 25235200152 is an apocalyptic number.

5235200152 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 5235200152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235891200).

5235200152 is an abundant number, since it is smaller than the sum of its proper divisors (7236582248).

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

5235200152 is a wasteful number, since it uses less digits than its factorization.

5235200152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5235200152 is about 72354.6829997893. The cubic root of 5235200152 is about 1736.3786213957.

Adding to 5235200152 its reverse (2510025325), we get a palindrome (7745225477).

The spelling of 5235200152 in words is "five billion, two hundred thirty-five million, two hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 263 296 364 481 518 526 728 739 962 1036 1052 1478 1841 1924 2072 2104 2956 3367 3419 3682 3848 5173 5912 6734 6838 7364 9607 9731 10346 13468 13676 14728 19214 19462 20692 23933 26936 27343 27352 38428 38924 41384 47866 54686 67249 68117 76856 77848 95732 109372 126503 134498 136234 191401 191464 194357 218744 253006 268996 272468 355459 382802 388714 506012 537992 544936 710918 765604 777428 885521 1012024 1360499 1421836 1531208 1554856 1771042 2488213 2526641 2720998 2843672 3542084 4976426 5053282 5441996 7084168 7191209 9952852 10106564 10883992 14382418 17686487 19905704 20213128 28764836 35372974 50338463 57529672 70745948 93485717 100676926 141491896 186971434 201353852 373942868 402707704 654400019 747885736 1308800038 2617600076 5235200152