Search a number
-
+
2350409152 = 26713443911
BaseRepresentation
bin1000110000011000…
…0110010111000000
320001210201011012211
42030012012113000
514303201043102
61025121231504
7112150101550
oct21406062700
96053634184
102350409152
11aa6821203
12557192594
132b5c44860
14184231160
15db52c7d7
hex8c1865c0

2350409152 has 112 divisors (see below), whose sum is σ = 5759695872. Its totient is φ = 926714880.

The previous prime is 2350409147. The next prime is 2350409161. The reversal of 2350409152 is 2519040532.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2579577 + ... + 2580487.

It is an arithmetic number, because the mean of its divisors is an integer number (51425856).

Almost surely, 22350409152 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 2350409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879847936).

2350409152 is an abundant number, since it is smaller than the sum of its proper divisors (3409286720).

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

2350409152 is a wasteful number, since it uses less digits than its factorization.

2350409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2350409152 is about 48481.0184711501. The cubic root of 2350409152 is about 1329.5800494476.

Adding to 2350409152 its reverse (2519040532), we get a palindrome (4869449684).

The spelling of 2350409152 in words is "two billion, three hundred fifty million, four hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 443 448 728 832 886 911 1456 1772 1822 2912 3101 3544 3644 5759 5824 6202 6377 7088 7288 11518 11843 12404 12754 14176 14576 23036 23686 24808 25508 28352 29152 40313 46072 47372 49616 51016 58304 80626 82901 92144 94744 99232 102032 161252 165802 184288 189488 198464 204064 322504 331604 368576 378976 403573 408128 645008 663208 757952 807146 1290016 1326416 1614292 2580032 2652832 2825011 3228584 5246449 5305664 5650022 6457168 10492898 11300044 12914336 20985796 22600088 25828672 36725143 41971592 45200176 73450286 83943184 90400352 146900572 167886368 180800704 293801144 335772736 587602288 1175204576 2350409152