Search a number
-
+
2915424 = 253253191
BaseRepresentation
bin1011000111110001100000
312111010012200
423013301200
51221243144
6142253200
733531531
oct13076140
95433180
102915424
111711446
12b87200
137b1005
1455c688
153c8c69
hex2c7c60

2915424 has 72 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 948480.

The previous prime is 2915413. The next prime is 2915431. The reversal of 2915424 is 4245192.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15169 + ... + 15359.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22915424 is an apocalyptic number.

2915424 is a gapful number since it is divisible by the number (24) 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 2915424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2915424 is an abundant number, since it is smaller than the sum of its proper divisors (5575968).

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

2915424 is a wasteful number, since it uses less digits than its factorization.

2915424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2915424 is about 1707.4612733529. The cubic root of 2915424 is about 142.8566872366.

The spelling of 2915424 in words is "two million, nine hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 191 212 288 318 382 424 477 573 636 764 848 954 1146 1272 1528 1696 1719 1908 2292 2544 3056 3438 3816 4584 5088 6112 6876 7632 9168 10123 13752 15264 18336 20246 27504 30369 40492 55008 60738 80984 91107 121476 161968 182214 242952 323936 364428 485904 728856 971808 1457712 2915424