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252067284 = 223271915237
BaseRepresentation
bin11110000011000…
…11110111010100
3122120022100022100
433001203313110
51004012123114
641002402100
76150352020
oct1701436724
9576270270
10252067284
1111a315977
1270500330
13402b7651
1425697380
15171e1909
hexf063dd4

252067284 has 72 divisors (see below), whose sum is σ = 732146688. Its totient is φ = 71628480.

The previous prime is 252067271. The next prime is 252067307. The reversal of 252067284 is 482760252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45514 + ... + 50750.

It is an arithmetic number, because the mean of its divisors is an integer number (10168704).

Almost surely, 2252067284 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 252067284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366073344).

252067284 is an abundant number, since it is smaller than the sum of its proper divisors (480079404).

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

252067284 is a wasteful number, since it uses less digits than its factorization.

252067284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252067284 is about 15876.6269717469. The cubic root of 252067284 is about 631.6921703636.

The spelling of 252067284 in words is "two hundred fifty-two million, sixty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3438 4011 5237 5348 6876 8022 10474 12033 15711 16044 20948 24066 31422 36659 47133 48132 62844 73318 94266 109977 146636 188532 219954 329931 439908 659862 1000267 1319724 2000534 3000801 4001068 6001602 7001869 9002403 12003204 14003738 18004806 21005607 28007476 36009612 42011214 63016821 84022428 126033642 252067284