Search a number
-
+
13849472 = 277132941
BaseRepresentation
bin110100110101…
…001110000000
3222001121220102
4310311032000
512021140342
61212501532
7225501320
oct64651600
928047812
1013849472
1178aa34a
12477a8a8
132b3ba70
141ba7280
151338832
hexd35380

13849472 has 128 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 5160960.

The previous prime is 13849457. The next prime is 13849481. The reversal of 13849472 is 27494831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337772 + ... + 337812.

Almost surely, 213849472 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 13849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

13849472 is an abundant number, since it is smaller than the sum of its proper divisors (22136128).

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

13849472 is a wasteful number, since it uses less digits than its factorization.

13849472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 13849472 is about 3721.4878744932. The cubic root of 13849472 is about 240.1473169627.

The spelling of 13849472 in words is "thirteen million, eight hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 41 52 56 58 64 82 91 104 112 116 128 164 182 203 208 224 232 287 328 364 377 406 416 448 464 533 574 656 728 754 812 832 896 928 1066 1148 1189 1312 1456 1508 1624 1664 1856 2132 2296 2378 2624 2639 2912 3016 3248 3712 3731 4264 4592 4756 5248 5278 5824 6032 6496 7462 8323 8528 9184 9512 10556 11648 12064 12992 14924 15457 16646 17056 18368 19024 21112 24128 25984 29848 30914 33292 34112 36736 38048 42224 48256 59696 61828 66584 68224 76096 84448 108199 119392 123656 133168 152192 168896 216398 238784 247312 266336 337792 432796 477568 494624 532672 865592 989248 1065344 1731184 1978496 3462368 6924736 13849472