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387124248 = 233729181439
BaseRepresentation
bin10111000100110…
…000110000011000
3222222102221122010
4113010300300120
51243100433443
6102225225520
712410334060
oct2704606030
9888387563
10387124248
111895811a5
12a97922a0
1362283b04
14395b23a0
1523ebd733
hex17130c18

387124248 has 128 divisors (see below), whose sum is σ = 1153152000. Its totient is φ = 105960960.

The previous prime is 387124223. The next prime is 387124267. The reversal of 387124248 is 842421783.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 881613 + ... + 882051.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2387124248 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 387124248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576000).

387124248 is an abundant number, since it is smaller than the sum of its proper divisors (766027752).

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

387124248 is a wasteful number, since it uses less digits than its factorization.

387124248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 387124248 is about 19675.4732598736. The cubic root of 387124248 is about 728.8141427183.

The spelling of 387124248 in words is "three hundred eighty-seven million, one hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 181 203 232 348 362 406 439 543 609 696 724 812 878 1086 1218 1267 1317 1448 1624 1756 2172 2436 2534 2634 3073 3512 3801 4344 4872 5068 5249 5268 6146 7602 9219 10136 10498 10536 12292 12731 15204 15747 18438 20996 24584 25462 30408 31494 36743 36876 38193 41992 50924 62988 73486 73752 76386 79459 89117 101848 110229 125976 146972 152772 158918 178234 220458 238377 267351 293944 305544 317836 356468 440916 476754 534702 556213 635672 712936 881832 953508 1069404 1112426 1668639 1907016 2138808 2224852 2304311 3337278 4449704 4608622 6674556 6912933 9217244 13349112 13825866 16130177 18434488 27651732 32260354 48390531 55303464 64520708 96781062 129041416 193562124 387124248