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2939232 = 253171801
BaseRepresentation
bin1011001101100101100000
312112022212110
423031211200
51223023412
6142555320
733661122
oct13154540
95468773
102939232
11172831a
12b98b40
137bbaba
14567212
153d0d3c
hex2cd960

2939232 has 48 divisors (see below), whose sum is σ = 8173872. Its totient is φ = 921600.

The previous prime is 2939231. The next prime is 2939257. The reversal of 2939232 is 2329392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 26 + 95 + 311 + 95 + 210 + 313 + 220 .

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 2939232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (170289).

22939232 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 2939232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086936).

2939232 is an abundant number, since it is smaller than the sum of its proper divisors (5234640).

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

2939232 is a wasteful number, since it uses less digits than its factorization.

2939232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1823 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 2939232 is about 1714.4188519729. The cubic root of 2939232 is about 143.2444999701.

The spelling of 2939232 in words is "two million, nine hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 1801 3602 5403 7204 10806 14408 21612 28816 30617 43224 57632 61234 86448 91851 122468 172896 183702 244936 367404 489872 734808 979744 1469616 2939232