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252021798 = 232721631753
BaseRepresentation
bin11110000010110…
…00110000100110
3122120020000220200
433001120300212
51004004144143
641001411330
76150102300
oct1701306046
9576200820
10252021798
1111a294786
1270499b46
134029ca32
1425684970
15171d31d3
hexf058c26

252021798 has 72 divisors (see below), whose sum is σ = 639459288. Its totient is φ = 71523648.

The previous prime is 252021779. The next prime is 252021799. The reversal of 252021798 is 897120252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252021799) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142890 + ... + 144642.

It is an arithmetic number, because the mean of its divisors is an integer number (8881379).

Almost surely, 2252021798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252021798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319729644).

252021798 is an abundant number, since it is smaller than the sum of its proper divisors (387437490).

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

252021798 is a wasteful number, since it uses less digits than its factorization.

252021798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 252021798 is about 15875.1944240063. The cubic root of 252021798 is about 631.6541714107.

It can be divided in two parts, 25202 and 1798, that added together give a cube (27000 = 303).

The spelling of 252021798 in words is "two hundred fifty-two million, twenty-one thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 163 294 326 441 489 882 978 1141 1467 1753 2282 2934 3423 3506 5259 6846 7987 10269 10518 12271 15777 15974 20538 23961 24542 31554 36813 47922 71883 73626 85897 110439 143766 171794 220878 257691 285739 515382 571478 773073 857217 1546146 1714434 2000173 2571651 4000346 5143302 6000519 12001038 14001211 18001557 28002422 36003114 42003633 84007266 126010899 252021798