Search a number
-
+
252823392 = 25322930271
BaseRepresentation
bin11110001000111…
…00011101100000
3122121201202111100
433010130131200
51004210322032
641030514400
76156651303
oct1704343540
9577652440
10252823392
1111a791a58
1270805a00
13404c0853
1425812b3a
15172e097c
hexf11c760

252823392 has 72 divisors (see below), whose sum is σ = 743783040. Its totient is φ = 81365760.

The previous prime is 252823379. The next prime is 252823397. The reversal of 252823392 is 293328252.

It is a tau number, because it is divible by the number of its divisors (72).

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 (252823397) 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 11 ways as a sum of consecutive naturals, for example, 6784 + ... + 23487.

It is an arithmetic number, because the mean of its divisors is an integer number (10330320).

Almost surely, 2252823392 is an apocalyptic number.

It is an amenable number.

252823392 is an abundant number, since it is smaller than the sum of its proper divisors (490959648).

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

252823392 is a wasteful number, since it uses less digits than its factorization.

252823392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30316 (or 30305 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 252823392 is about 15900.4211264985. The cubic root of 252823392 is about 632.3231536498.

The spelling of 252823392 in words is "two hundred fifty-two million, eight hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 30271 60542 90813 121084 181626 242168 272439 363252 484336 544878 726504 877859 968672 1089756 1453008 1755718 2179512 2633577 2906016 3511436 4359024 5267154 7022872 7900731 8718048 10534308 14045744 15801462 21068616 28091488 31602924 42137232 63205848 84274464 126411696 252823392