Search a number
-
+
15049216 = 297131719
BaseRepresentation
bin111001011010…
…001000000000
31001022120122101
4321122020000
512323033331
61254320144
7241626160
oct71321000
931276571
1015049216
118549776
125059054
13316bb80
141dda5a0
1514c4061
hexe5a200

15049216 has 160 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 5308416.

The previous prime is 15049213. The next prime is 15049217. The reversal of 15049216 is 61294051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15049211) 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, 792055 + ... + 792073.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 215049216 is an apocalyptic number.

15049216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15049216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

15049216 is an abundant number, since it is smaller than the sum of its proper divisors (26198144).

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

15049216 is a wasteful number, since it uses less digits than its factorization.

15049216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 15049216 is about 3879.3319012428. The cubic root of 15049216 is about 246.8906398466.

The spelling of 15049216 in words is "fifteen million, forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 17 19 26 28 32 34 38 52 56 64 68 76 91 104 112 119 128 133 136 152 182 208 221 224 238 247 256 266 272 304 323 364 416 442 448 476 494 512 532 544 608 646 728 832 884 896 952 988 1064 1088 1216 1292 1456 1547 1664 1729 1768 1792 1904 1976 2128 2176 2261 2432 2584 2912 3094 3328 3458 3536 3584 3808 3952 4199 4256 4352 4522 4864 5168 5824 6188 6656 6916 7072 7616 7904 8398 8512 8704 9044 9728 10336 11648 12376 13832 14144 15232 15808 16796 17024 18088 20672 23296 24752 27664 28288 29393 30464 31616 33592 34048 36176 41344 46592 49504 55328 56576 58786 60928 63232 67184 68096 72352 82688 99008 110656 113152 117572 126464 134368 144704 165376 198016 221312 235144 268736 289408 396032 442624 470288 537472 578816 792064 885248 940576 1074944 1157632 1881152 2149888 3762304 7524608 15049216