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252736308 = 223311229929
BaseRepresentation
bin11110001000001…
…11001100110100
3122121120100001000
433010013030310
51004200030213
641025003300
76156136356
oct1704071464
9577510030
10252736308
1111a732590
1270783530
1340490016
14257cd0d6
15172c4c73
hexf107334

252736308 has 96 divisors (see below), whose sum is σ = 718704000. Its totient is φ = 76170240.

The previous prime is 252736303. The next prime is 252736321. The reversal of 252736308 is 803637252.

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 (252736301) 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 31 ways as a sum of consecutive naturals, for example, 271588 + ... + 272516.

It is an arithmetic number, because the mean of its divisors is an integer number (7486500).

Almost surely, 2252736308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252736308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359352000).

252736308 is an abundant number, since it is smaller than the sum of its proper divisors (465967692).

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

252736308 is a wasteful number, since it uses less digits than its factorization.

252736308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 252736308 is about 15897.6824726122. The cubic root of 252736308 is about 632.2505449240.

The spelling of 252736308 in words is "two hundred fifty-two million, seven hundred thirty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 229 297 396 458 594 687 916 929 1188 1374 1858 2061 2519 2748 2787 3716 4122 5038 5574 6183 7557 8244 8361 10076 10219 11148 12366 15114 16722 20438 22671 24732 25083 30228 30657 33444 40876 45342 50166 61314 68013 90684 91971 100332 122628 136026 183942 212741 272052 275913 367884 425482 551826 638223 850964 1103652 1276446 1914669 2340151 2552892 3829338 4680302 5744007 7020453 7658676 9360604 11488014 14040906 21061359 22976028 28081812 42122718 63184077 84245436 126368154 252736308