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4832940 = 2235737311
BaseRepresentation
bin10010011011111010101100
3100002112112210
4102123322230
52214123230
6251330420
756036130
oct22337254
910075483
104832940
112801072
121750a10
131002a38
148db3c0
15656eb0
hex49beac

4832940 has 96 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 1071360.

The previous prime is 4832939. The next prime is 4832941. The reversal of 4832940 is 492384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4832939) and next prime (4832941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 43 + 83 + 35 + 215 + 97 + 47 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4832898 and 4832907.

It is not an unprimeable number, because it can be changed into a prime (4832941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15385 + ... + 15695.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 24832940 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 4832940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

4832940 is an abundant number, since it is smaller than the sum of its proper divisors (11101524).

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

4832940 is a wasteful number, since it uses less digits than its factorization.

4832940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4832940 is about 2198.3948689896. The cubic root of 4832940 is about 169.0715241760.

The spelling of 4832940 in words is "four million, eight hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 311 370 420 444 518 555 622 740 777 933 1036 1110 1244 1295 1554 1555 1866 2177 2220 2590 3108 3110 3732 3885 4354 4665 5180 6220 6531 7770 8708 9330 10885 11507 13062 15540 18660 21770 23014 26124 32655 34521 43540 46028 57535 65310 69042 80549 115070 130620 138084 161098 172605 230140 241647 322196 345210 402745 483294 690420 805490 966588 1208235 1610980 2416470 4832940