Search a number
-
+
4909433088 = 2837318637
BaseRepresentation
bin1001001001010000…
…00000000100000000
3110200010222001010010
410210220000010000
540023303324323
62131054104520
7232442331000
oct44450000400
913603861103
104909433088
11209a27981a
12b501ab140
1360316b8c1
14348048000
151db016c93
hex124a00100

4909433088 has 144 divisors (see below), whose sum is σ = 15238428800. Its totient is φ = 1402619904.

The previous prime is 4909433083. The next prime is 4909433119. The reversal of 4909433088 is 8803349094.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4909433083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254106 + ... + 272742.

Almost surely, 24909433088 is an apocalyptic number.

4909433088 is a gapful number since it is divisible by the number (48) 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 4909433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619214400).

4909433088 is an abundant number, since it is smaller than the sum of its proper divisors (10328995712).

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

4909433088 is an equidigital number, since it uses as much as digits as its factorization.

4909433088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18677 (or 18649 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4909433088 is about 70067.3468029153. The cubic root of 4909433088 is about 1699.5884918617.

The spelling of 4909433088 in words is "four billion, nine hundred nine million, four hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4704 5376 5488 6272 8232 9408 10976 12544 16464 18637 18816 21952 32928 37274 37632 43904 55911 65856 74548 87808 111822 130459 131712 149096 223644 260918 263424 298192 391377 447288 521836 596384 782754 894576 913213 1043672 1192768 1565508 1789152 1826426 2087344 2385536 2739639 3131016 3578304 3652852 4174688 4771072 5479278 6262032 6392491 7156608 7305704 8349376 10958556 12524064 12784982 14313216 14611408 16698752 19177473 21917112 25048128 25569964 29222816 33397504 38354946 43834224 50096256 51139928 58445632 76709892 87668448 100192512 102279856 116891264 153419784 175336896 204559712 233782528 306839568 350673792 409119424 613679136 701347584 818238848 1227358272 1636477696 2454716544 4909433088