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1450269216 = 253211241617
BaseRepresentation
bin101011001110001…
…0101101000100000
310202001221022100200
41112130111220200
510432232103331
6355524145200
750640041064
oct12634255040
93661838320
101450269216
11684703800
12345838200
131a15cc586
14da879aa4
15874c45e6
hex56715a20

1450269216 has 108 divisors (see below), whose sum is σ = 4533323886. Its totient is φ = 439464960.

The previous prime is 1450269211. The next prime is 1450269239. The reversal of 1450269216 is 6129620541.

It can be written as a sum of positive squares in only one way, i.e., 732243600 + 718025616 = 27060^2 + 26796^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1450269211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14040 + ... + 55656.

Almost surely, 21450269216 is an apocalyptic number.

1450269216 is a gapful number since it is divisible by the number (16) 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 1450269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266661943).

1450269216 is an abundant number, since it is smaller than the sum of its proper divisors (3083054670).

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

1450269216 is a wasteful number, since it uses less digits than its factorization.

1450269216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41655 (or 41633 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1450269216 is about 38082.4003445161. The cubic root of 1450269216 is about 1131.9212404676.

Adding to 1450269216 its reverse (6129620541), we get a palindrome (7579889757).

The spelling of 1450269216 in words is "one billion, four hundred fifty million, two hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 41617 83234 124851 166468 249702 332936 374553 457787 499404 665872 749106 915574 998808 1331744 1373361 1498212 1831148 1997616 2746722 2996424 3662296 3995232 4120083 5035657 5493444 5992848 7324592 8240166 10071314 10986888 11985696 14649184 15106971 16480332 20142628 21973776 30213942 32960664 40285256 43947552 45320913 60427884 65921328 80570512 90641826 120855768 131842656 161141024 181283652 241711536 362567304 483423072 725134608 1450269216