Search a number
-
+
4053104896 = 282321732
BaseRepresentation
bin1111000110010101…
…0111100100000000
3101110110122001200011
43301211113210000
531300043324041
61510104034304
7202303552231
oct36145274400
911413561604
104053104896
11179a965775
12951462994
134c7926129
142a6419088
1518ac64e81
hexf1957900

4053104896 has 81 divisors (see below), whose sum is σ = 8506596049. Its totient is φ = 1927236608.

The previous prime is 4053104893. The next prime is 4053104911. The reversal of 4053104896 is 6984013504.

The square root of 4053104896 is 63664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3686918400 + 366186496 = 60720^2 + 19136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4053104893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23428266 + ... + 23428438.

Almost surely, 24053104896 is an apocalyptic number.

4053104896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4053104896 is the 63664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053104896

4053104896 is an abundant number, since it is smaller than the sum of its proper divisors (4453491153).

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

4053104896 is an frugal number, since it uses more digits than its factorization.

4053104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 4053104896 is about 1594.3950885315.

The spelling of 4053104896 in words is "four billion, fifty-three million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 529 692 736 1058 1384 1472 2116 2768 2944 3979 4232 5536 5888 7958 8464 11072 15916 16928 22144 29929 31832 33856 44288 59858 63664 67712 91517 119716 127328 135424 183034 239432 254656 366068 478864 509312 688367 732136 957728 1018624 1376734 1464272 1915456 2753468 2928544 3830912 5506936 5857088 7661824 11013872 11714176 15832441 22027744 23428352 31664882 44055488 63329764 88110976 126659528 176221952 253319056 506638112 1013276224 2026552448 4053104896