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252379368 = 233323371373
BaseRepresentation
bin11110000101100…
…00000011101000
3122120220012102000
433002300003220
51004102114433
641013211000
76153121623
oct1702600350
9576805360
10252379368
1111a50939a
1270630a60
1340396707
1425738dba
1517254113
hexf0b00e8

252379368 has 128 divisors (see below), whose sum is σ = 751852800. Its totient is φ = 78236928.

The previous prime is 252379357. The next prime is 252379411. The reversal of 252379368 is 863973252.

252379368 is a `hidden beast` number, since 252 + 37 + 9 + 368 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183130 + ... + 184502.

It is an arithmetic number, because the mean of its divisors is an integer number (5873850).

Almost surely, 2252379368 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 252379368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375926400).

252379368 is an abundant number, since it is smaller than the sum of its proper divisors (499473432).

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

252379368 is a wasteful number, since it uses less digits than its factorization.

252379368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1438 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 252379368 is about 15886.4523415393. The cubic root of 252379368 is about 631.9527617847.

The spelling of 252379368 in words is "two hundred fifty-two million, three hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 37 46 54 69 72 74 92 108 111 138 148 184 207 216 222 276 296 333 414 444 552 621 666 828 851 888 999 1242 1332 1373 1656 1702 1998 2484 2553 2664 2746 3404 3996 4119 4968 5106 5492 6808 7659 7992 8238 10212 10984 12357 15318 16476 20424 22977 24714 30636 31579 32952 37071 45954 49428 50801 61272 63158 74142 91908 94737 98856 101602 126316 148284 152403 183816 189474 203204 252632 284211 296568 304806 378948 406408 457209 568422 609612 757896 852633 914418 1136844 1168423 1219224 1371627 1705266 1828836 2273688 2336846 2743254 3410532 3505269 3657672 4673692 5486508 6821064 7010538 9347384 10515807 10973016 14021076 21031614 28042152 31547421 42063228 63094842 84126456 126189684 252379368