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252244368 = 2434171072
BaseRepresentation
bin11110000100011…
…11000110010000
3122120122100020000
433002033012100
51004033304433
641010250000
76152020215
oct1702170620
9576570200
10252244368
1111a426a22
1270586900
134034a12c
1425701b0c
1517229113
hexf08f190

252244368 has 150 divisors (see below), whose sum is σ = 780305526. Its totient is φ = 78395904.

The previous prime is 252244319. The next prime is 252244373. The reversal of 252244368 is 863442252.

252244368 is a `hidden beast` number, since 2 + 52 + 244 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 237406464 + 14837904 = 15408^2 + 3852^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2357371 + ... + 2357477.

Almost surely, 2252244368 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 252244368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390152763).

252244368 is an abundant number, since it is smaller than the sum of its proper divisors (528061158).

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

252244368 is a wasteful number, since it uses less digits than its factorization.

252244368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 129 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 252244368 is about 15882.2028698792. The cubic root of 252244368 is about 631.8400626106.

It can be divided in two parts, 25224 and 4368, that added together give a palindrome (29592).

The spelling of 252244368 in words is "two hundred fifty-two million, two hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 107 108 136 144 153 162 204 214 216 272 306 321 324 408 428 432 459 612 642 648 816 856 918 963 1224 1284 1296 1377 1712 1819 1836 1926 2448 2568 2754 2889 3638 3672 3852 5136 5457 5508 5778 7276 7344 7704 8667 10914 11016 11449 11556 14552 15408 16371 17334 21828 22032 22898 23112 29104 32742 34347 34668 43656 45796 46224 49113 65484 68694 69336 87312 91592 98226 103041 130968 137388 138672 147339 183184 194633 196452 206082 261936 274776 294678 309123 389266 392904 412164 549552 583899 589356 618246 778532 785808 824328 927369 1167798 1178712 1236492 1557064 1648656 1751697 1854738 2335596 2357424 2472984 3114128 3503394 3709476 4671192 4945968 5255091 7006788 7418952 9342384 10510182 14013576 14837904 15765273 21020364 28027152 31530546 42040728 63061092 84081456 126122184 252244368