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3848500512 = 25348771693
BaseRepresentation
bin1110010101100011…
…0111010100100000
3100221012122002020000
43211120313110200
530340204004022
61433514420000
7164240500053
oct34530672440
910835562200
103848500512
1116a541843a
128b4a31600
1349441914c
14287198a9a
15177ceb6ac
hexe5637520

3848500512 has 120 divisors (see below), whose sum is σ = 11337931836. Its totient is φ = 1280613888.

The previous prime is 3848500493. The next prime is 3848500517. The reversal of 3848500512 is 2150058483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3785202576 + 63297936 = 61524^2 + 7956^2 .

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 (3848500517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2272338 + ... + 2274030.

Almost surely, 23848500512 is an apocalyptic number.

3848500512 is a gapful number since it is divisible by the number (32) 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 3848500512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668965918).

3848500512 is an abundant number, since it is smaller than the sum of its proper divisors (7489431324).

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

3848500512 is a wasteful number, since it uses less digits than its factorization.

3848500512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3848500512 is about 62036.2838345432. The cubic root of 3848500512 is about 1567.1017041647.

Adding to 3848500512 its reverse (2150058483), we get a palindrome (5998558995).

The spelling of 3848500512 in words is "three billion, eight hundred forty-eight million, five hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 877 1296 1693 1754 2592 2631 3386 3508 5079 5262 6772 7016 7893 10158 10524 13544 14032 15237 15786 20316 21048 23679 27088 28064 30474 31572 40632 42096 45711 47358 54176 60948 63144 71037 81264 84192 91422 94716 121896 126288 137133 142074 162528 182844 189432 243792 252576 274266 284148 365688 378864 487584 548532 568296 731376 757728 1097064 1136592 1462752 1484761 2194128 2273184 2969522 4388256 4454283 5939044 8908566 11878088 13362849 17817132 23756176 26725698 35634264 40088547 47512352 53451396 71268528 80177094 106902792 120265641 142537056 160354188 213805584 240531282 320708376 427611168 481062564 641416752 962125128 1282833504 1924250256 3848500512