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3842136448 = 27472332741
BaseRepresentation
bin1110010100000010…
…0101100110000000
3100220202122202100221
43211000211212000
530332041331243
61433130152424
7164132422663
oct34500454600
910822582327
103842136448
1116a1870a87
128b2882714
13492ccb527
142863bd6da
15177490bed
hexe5025980

3842136448 has 64 divisors (see below), whose sum is σ = 7853526720. Its totient is φ = 1871441920.

The previous prime is 3842136439. The next prime is 3842136449. The reversal of 3842136448 is 8446312483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3842136449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1400358 + ... + 1403098.

It is an arithmetic number, because the mean of its divisors is an integer number (122711355).

Almost surely, 23842136448 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 3842136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926763360).

3842136448 is an abundant number, since it is smaller than the sum of its proper divisors (4011390272).

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

3842136448 is a wasteful number, since it uses less digits than its factorization.

3842136448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3023 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The square root of 3842136448 is about 61984.9695329440. The cubic root of 3842136448 is about 1566.2374162067.

The spelling of 3842136448 in words is "three billion, eight hundred forty-two million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 233 376 466 752 932 1504 1864 2741 3008 3728 5482 6016 7456 10951 10964 14912 21902 21928 29824 43804 43856 87608 87712 128827 175216 175424 257654 350432 350848 515308 638653 700864 1030616 1277306 1401728 2061232 2554612 4122464 5109224 8244928 10218448 16489856 20436896 30016691 40873792 60033382 81747584 120066764 240133528 480267056 960534112 1921068224 3842136448