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39113984 = 287132373
BaseRepresentation
bin1001010100110…
…1010100000000
32201121012022002
42111031110000
540003121414
63514203132
7653314640
oct225152400
981535262
1039113984
1120095a08
12111234a8
138146490
1452a2520
1536794de
hex254d500

39113984 has 144 divisors (see below), whose sum is σ = 101644032. Its totient is φ = 14598144.

The previous prime is 39113981. The next prime is 39114013. The reversal of 39113984 is 48931193.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39113981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535772 + ... + 535844.

Almost surely, 239113984 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 39113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50822016).

39113984 is an abundant number, since it is smaller than the sum of its proper divisors (62530048).

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

39113984 is a wasteful number, since it uses less digits than its factorization.

39113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 39113984 is about 6254.1173637852. The cubic root of 39113984 is about 339.4512023149.

The spelling of 39113984 in words is "thirty-nine million, one hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 73 91 92 104 112 128 146 161 182 184 208 224 256 292 299 322 364 368 416 448 511 584 598 644 728 736 832 896 949 1022 1168 1196 1288 1456 1472 1664 1679 1792 1898 2044 2093 2336 2392 2576 2912 2944 3328 3358 3796 4088 4186 4672 4784 5152 5824 5888 6643 6716 7592 8176 8372 9344 9568 10304 11648 11753 13286 13432 15184 16352 16744 18688 19136 20608 21827 23296 23506 26572 26864 30368 32704 33488 38272 41216 43654 47012 53144 53728 60736 65408 66976 76544 87308 94024 106288 107456 121472 130816 133952 152789 174616 188048 212576 214912 242944 267904 305578 349232 376096 425152 429824 535808 611156 698464 752192 850304 1222312 1396928 1504384 1700608 2444624 2793856 3008768 4889248 5587712 9778496 19556992 39113984