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4382719640 = 235138428307
BaseRepresentation
bin1000001010011101…
…01111111010011000
3102022102212020002122
410011032233322120
532433434012030
62002520520412
7213415334165
oct40516577230
912272766078
104382719640
111949a27152
12a23920108
1354acc2740
142d80db06c
151a9b738e5
hex1053afe98

4382719640 has 32 divisors (see below), whose sum is σ = 10619668080. Its totient is φ = 1618234752.

The previous prime is 4382719639. The next prime is 4382719657. The reversal of 4382719640 is 469172834.

It is a junction number, because it is equal to n+sod(n) for n = 4382719591 and 4382719600.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4213634 + ... + 4214673.

Almost surely, 24382719640 is an apocalyptic number.

4382719640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4382719640 is an abundant number, since it is smaller than the sum of its proper divisors (6236948440).

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

4382719640 is a wasteful number, since it uses less digits than its factorization.

4382719640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428331 (or 8428327 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 4382719640 is about 66202.1120509006. The cubic root of 4382719640 is about 1636.4945500238.

The spelling of 4382719640 in words is "four billion, three hundred eighty-two million, seven hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8428307 16856614 33713228 42141535 67426456 84283070 109567991 168566140 219135982 337132280 438271964 547839955 876543928 1095679910 2191359820 4382719640