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953441424 = 243213509317
BaseRepresentation
bin111000110101000…
…101110010010000
32110110001211202100
4320311011302100
53423040111144
6234335320400
732425055415
oct7065056220
92413054670
10953441424
1144a213721
12227380100
131226b8330
14908ac10c
1558a86269
hex38d45c90

953441424 has 60 divisors (see below), whose sum is σ = 2873572156. Its totient is φ = 293366016.

The previous prime is 953441399. The next prime is 953441443. The reversal of 953441424 is 424144359.

It can be written as a sum of positive squares in 2 ways, for example, as 413715600 + 539725824 = 20340^2 + 23232^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 252787 + ... + 256530.

Almost surely, 2953441424 is an apocalyptic number.

It is an amenable number.

953441424 is an abundant number, since it is smaller than the sum of its proper divisors (1920130732).

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

953441424 is a wasteful number, since it uses less digits than its factorization.

953441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509344 (or 509335 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 953441424 is about 30877.8468161237. The cubic root of 953441424 is about 984.2331888352.

The spelling of 953441424 in words is "nine hundred fifty-three million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 509317 1018634 1527951 2037268 3055902 4074536 4583853 6111804 6621121 8149072 9167706 12223608 13242242 18335412 19863363 24447216 26484484 36670824 39726726 52968968 59590089 73341648 79453452 105937936 119180178 158906904 238360356 317813808 476720712 953441424