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19914752 = 213111317
BaseRepresentation
bin100101111111…
…0000000000000
31101110202220102
41023332000000
520044233002
61550501532
7331162334
oct113760000
941422812
1019914752
1110272280
1268048a8
1341836a0
1429057c4
151b35a02
hex12fe000

19914752 has 112 divisors (see below), whose sum is σ = 49542192. Its totient is φ = 7864320.

The previous prime is 19914737. The next prime is 19914761. The reversal of 19914752 is 25741991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171448 + ... + 1171464.

It is an arithmetic number, because the mean of its divisors is an integer number (442341).

Almost surely, 219914752 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 19914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771096).

19914752 is an abundant number, since it is smaller than the sum of its proper divisors (29627440).

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

19914752 is a wasteful number, since it uses less digits than its factorization.

19914752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its digits is 22680, while the sum is 38.

The square root of 19914752 is about 4462.5947608986. The cubic root of 19914752 is about 271.0555479512.

The spelling of 19914752 in words is "nineteen million, nine hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 256 272 286 352 374 416 442 512 544 572 704 748 832 884 1024 1088 1144 1408 1496 1664 1768 2048 2176 2288 2431 2816 2992 3328 3536 4096 4352 4576 4862 5632 5984 6656 7072 8192 8704 9152 9724 11264 11968 13312 14144 17408 18304 19448 22528 23936 26624 28288 34816 36608 38896 45056 47872 53248 56576 69632 73216 77792 90112 95744 106496 113152 139264 146432 155584 191488 226304 292864 311168 382976 452608 585728 622336 765952 905216 1171456 1244672 1531904 1810432 2489344 4978688 9957376 19914752