Search a number
-
+
2925216 = 253271451
BaseRepresentation
bin1011001010001010100000
312111121122100
423022022200
51222101331
6142410400
733602220
oct13121240
95447570
102925216
111718838
12b90a00
137b55c8
14562080
153cbae6
hex2ca2a0

2925216 has 72 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 835200.

The previous prime is 2925211. The next prime is 2925281. The reversal of 2925216 is 6125292.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2925216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1291 + ... + 2741.

It is an arithmetic number, because the mean of its divisors is an integer number (132132).

22925216 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 2925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

2925216 is an abundant number, since it is smaller than the sum of its proper divisors (6588288).

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

2925216 is a wasteful number, since it uses less digits than its factorization.

2925216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2925216 is about 1710.3262846603. The cubic root of 2925216 is about 143.0164455307.

The spelling of 2925216 in words is "two million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1451 2016 2902 4353 5804 8706 10157 11608 13059 17412 20314 23216 26118 30471 34824 40628 46432 52236 60942 69648 81256 91413 104472 121884 139296 162512 182826 208944 243768 325024 365652 417888 487536 731304 975072 1462608 2925216