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4820634 = 235713109
BaseRepresentation
bin10010011000111010011010
3100001220200000
4102120322122
52213230014
6251153430
755655220
oct22307232
910056600
104820634
1127a28a5
121745876
13cca260
148d6b10
15653509
hex498e9a

4820634 has 96 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 1259712.

The previous prime is 4820633. The next prime is 4820653. The reversal of 4820634 is 4360284.

4820634 is a `hidden beast` number, since 4 + 8 + 20 + 634 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4820598 and 4820607.

It is not an unprimeable number, because it can be changed into a prime (4820633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44172 + ... + 44280.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

Almost surely, 24820634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

4820634 is an abundant number, since it is smaller than the sum of its proper divisors (8632806).

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

4820634 is a wasteful number, since it uses less digits than its factorization.

4820634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4820634 is about 2195.5942248057. The cubic root of 4820634 is about 168.9279012742.

The spelling of 4820634 in words is "four million, eight hundred twenty thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 109 117 126 162 182 189 218 234 243 273 327 351 378 486 546 567 654 702 763 819 981 1053 1134 1417 1526 1638 1701 1962 2106 2289 2457 2834 2943 3159 3402 4251 4578 4914 5886 6318 6867 7371 8502 8829 9919 12753 13734 14742 17658 19838 20601 22113 25506 26487 29757 38259 41202 44226 52974 59514 61803 76518 89271 114777 123606 178542 185409 229554 267813 344331 370818 535626 688662 803439 1606878 2410317 4820634