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399031248 = 2437111071009
BaseRepresentation
bin10111110010001…
…011101111010000
31000210211212222010
4113302023233100
51304122444443
6103332342520
712613465260
oct2762135720
91023755863
10399031248
111952740a0
12b1774a40
1364892685
143add17a0
1525071733
hex17c8bbd0

399031248 has 160 divisors (see below), whose sum is σ = 1298488320. Its totient is φ = 102574080.

The previous prime is 399031201. The next prime is 399031249. The reversal of 399031248 is 842130993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399031249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394968 + ... + 395976.

It is an arithmetic number, because the mean of its divisors is an integer number (8115552).

Almost surely, 2399031248 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 399031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649244160).

399031248 is an abundant number, since it is smaller than the sum of its proper divisors (899457072).

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

399031248 is a wasteful number, since it uses less digits than its factorization.

399031248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 399031248 is about 19975.7665184593. The cubic root of 399031248 is about 736.2110000739.

The spelling of 399031248 in words is "three hundred ninety-nine million, thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 107 112 132 154 168 176 214 231 264 308 321 336 428 462 528 616 642 749 856 924 1009 1177 1232 1284 1498 1712 1848 2018 2247 2354 2568 2996 3027 3531 3696 4036 4494 4708 5136 5992 6054 7062 7063 8072 8239 8988 9416 11099 11984 12108 14124 14126 16144 16478 17976 18832 21189 22198 24216 24717 28248 28252 32956 33297 35952 42378 44396 48432 49434 56496 56504 65912 66594 77693 84756 88792 98868 107963 113008 131824 133188 155386 169512 177584 197736 215926 233079 266376 310772 323889 339024 395472 431852 466158 532752 621544 647778 755741 863704 932316 1187593 1243088 1295556 1511482 1727408 1864632 2267223 2375186 2591112 3022964 3562779 3729264 4534446 4750372 5182224 6045928 7125558 8313151 9068892 9500744 12091856 14251116 16626302 18137784 19001488 24939453 28502232 33252604 36275568 49878906 57004464 66505208 99757812 133010416 199515624 399031248