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252123354 = 2347223997
BaseRepresentation
bin11110000011100…
…01100011011010
3122120102012020000
433001301203122
51004020421404
641003513430
76151004340
oct1701614332
9576365200
10252123354
1111a35400a
1270528876
1340307022
14256ad990
1517203339
hexf0718da

252123354 has 80 divisors (see below), whose sum is σ = 649195008. Its totient is φ = 71640288.

The previous prime is 252123349. The next prime is 252123367. The reversal of 252123354 is 453321252.

It is a happy number.

252123354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252384 + ... + 253380.

Almost surely, 2252123354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252123354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324597504).

252123354 is an abundant number, since it is smaller than the sum of its proper divisors (397071654).

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

252123354 is a wasteful number, since it uses less digits than its factorization.

252123354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1232 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 252123354 is about 15878.3926768423. The cubic root of 252123354 is about 631.7390048880.

The spelling of 252123354 in words is "two hundred fifty-two million, one hundred twenty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 223 378 446 567 669 997 1134 1338 1561 1994 2007 2991 3122 4014 4683 5982 6021 6979 8973 9366 12042 13958 14049 17946 18063 20937 26919 28098 36126 41874 42147 53838 62811 80757 84294 125622 126441 161514 188433 222331 252882 376866 444662 565299 666993 1130598 1333986 1556317 2000979 3112634 4001958 4668951 6002937 9337902 12005874 14006853 18008811 28013706 36017622 42020559 84041118 126061677 252123354