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4640638432 = 2519431391277
BaseRepresentation
bin1000101001001101…
…01000010111100000
3102222102011212011111
410110212220113200
534001000412212
62044252553104
7222666530053
oct42446502740
912872155144
104640638432
111a71579381
12a96182794
1358c578601
14320478a9a
151c261dea7
hex1149a85e0

4640638432 has 96 divisors (see below), whose sum is σ = 9919324800. Its totient is φ = 2129960448.

The previous prime is 4640638421. The next prime is 4640638469. The reversal of 4640638432 is 2348360464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3633378 + ... + 3634654.

It is an arithmetic number, because the mean of its divisors is an integer number (103326300).

Almost surely, 24640638432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959662400).

4640638432 is an abundant number, since it is smaller than the sum of its proper divisors (5278686368).

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

4640638432 is a wasteful number, since it uses less digits than its factorization.

4640638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The square root of 4640638432 is about 68122.2315547575. The cubic root of 4640638432 is about 1667.9866772184.

Adding to 4640638432 its reverse (2348360464), we get a palindrome (6988998896).

The spelling of 4640638432 in words is "four billion, six hundred forty million, six hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 139 152 172 278 304 344 556 608 688 817 1112 1277 1376 1634 2224 2554 2641 3268 4448 5108 5282 5977 6536 10216 10564 11954 13072 20432 21128 23908 24263 26144 40864 42256 47816 48526 54911 84512 95632 97052 109822 113563 177503 191264 194104 219644 227126 355006 388208 439288 454252 710012 776416 878576 908504 1043309 1420024 1757152 1817008 2086618 2840048 3372557 3634016 4173236 5680096 6745114 7632629 8346472 13490228 15265258 16692944 26980456 30530516 33385888 53960912 61061032 107921824 122122064 145019951 244244128 290039902 580079804 1160159608 2320319216 4640638432