Search a number
-
+
2933856 = 253261167
BaseRepresentation
bin1011001100010001100000
312112001111100
423030101200
51222340411
6142514400
733636342
oct13142140
95461440
102933856
111724282
12b95a00
137b9513
14565292
153ce456
hex2cc460

2933856 has 72 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 956160.

The previous prime is 2933849. The next prime is 2933867. The reversal of 2933856 is 6583392.

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

It is a super-2 number, since 2×29338562 = 17215022057472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 220 + 93 + 39 + 313 + 86 + 54 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 2933856.

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, 17485 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

22933856 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 2933856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2933856 is an abundant number, since it is smaller than the sum of its proper divisors (5596848).

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

2933856 is a wasteful number, since it uses less digits than its factorization.

2933856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2933856 is about 1712.8502561520. The cubic root of 2933856 is about 143.1571129229.

The spelling of 2933856 in words is "two million, nine hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 167 183 244 288 334 366 488 501 549 668 732 976 1002 1098 1336 1464 1503 1952 2004 2196 2672 2928 3006 4008 4392 5344 5856 6012 8016 8784 10187 12024 16032 17568 20374 24048 30561 40748 48096 61122 81496 91683 122244 162992 183366 244488 325984 366732 488976 733464 977952 1466928 2933856