Search a number
-
+
2353051872 = 25321731663
BaseRepresentation
bin1000110001000000…
…1011100011100000
320001222200102100100
42030100023203200
514304340124442
61025254022400
7112211416353
oct21420134340
96058612310
102353051872
11aa8266776
12558047a00
132b665b6b2
1418471c29a
15db8a084c
hex8c40b8e0

2353051872 has 144 divisors (see below), whose sum is σ = 7113899520. Its totient is φ = 737768448.

The previous prime is 2353051861. The next prime is 2353051879. The reversal of 2353051872 is 2781503532.

It is a happy number.

2353051872 is a `hidden beast` number, since 2 + 3 + 530 + 51 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23530518722 = 11073706224645408768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353051879) 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 23 ways as a sum of consecutive naturals, for example, 1414113 + ... + 1415775.

It is an arithmetic number, because the mean of its divisors is an integer number (49402080).

Almost surely, 22353051872 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 2353051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556949760).

2353051872 is an abundant number, since it is smaller than the sum of its proper divisors (4760847648).

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

2353051872 is a wasteful number, since it uses less digits than its factorization.

2353051872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2353051872 is about 48508.2660172470. The cubic root of 2353051872 is about 1330.0781743109.

The spelling of 2353051872 in words is "two billion, three hundred fifty-three million, fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1663 1734 2312 2448 2601 3326 3468 4624 4896 4913 4989 5202 6652 6936 9248 9826 9978 10404 13304 13872 14739 14967 19652 19956 20808 26608 27744 28271 29478 29934 39304 39912 41616 44217 53216 56542 58956 59868 78608 79824 83232 84813 88434 113084 117912 119736 157216 159648 169626 176868 226168 235824 239472 254439 339252 353736 452336 471648 478944 480607 508878 678504 707472 904672 961214 1017756 1357008 1414944 1441821 1922428 2035512 2714016 2883642 3844856 4071024 4325463 5767284 7689712 8142048 8170319 8650926 11534568 15379424 16340638 17301852 23069136 24510957 32681276 34603704 46138272 49021914 65362552 69207408 73532871 98043828 130725104 138414816 147065742 196087656 261450208 294131484 392175312 588262968 784350624 1176525936 2353051872