Search a number
-
+
5514912 = 253313491
BaseRepresentation
bin10101000010011010100000
3101101012001000
4111002122200
52402434122
6314112000
764606314
oct25023240
911335030
105514912
113127487
121a1b600
1311b1280
14a37b44
1573e0ac
hex5426a0

5514912 has 96 divisors (see below), whose sum is σ = 17357760. Its totient is φ = 1693440.

The previous prime is 5514893. The next prime is 5514913. The reversal of 5514912 is 2194155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5514913) 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, 10987 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (180810).

Almost surely, 25514912 is an apocalyptic number.

5514912 is a gapful number since it is divisible by the number (52) 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 5514912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678880).

5514912 is an abundant number, since it is smaller than the sum of its proper divisors (11842848).

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

5514912 is a wasteful number, since it uses less digits than its factorization.

5514912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 5514912 is about 2348.3849769576. The cubic root of 5514912 is about 176.6768017602.

The spelling of 5514912 in words is "five million, five hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 491 624 702 864 936 982 1248 1404 1473 1872 1964 2808 2946 3744 3928 4419 5616 5892 6383 7856 8838 11232 11784 12766 13257 15712 17676 19149 23568 25532 26514 35352 38298 47136 51064 53028 57447 70704 76596 102128 106056 114894 141408 153192 172341 204256 212112 229788 306384 344682 424224 459576 612768 689364 919152 1378728 1838304 2757456 5514912