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4967028 = 22331137113
BaseRepresentation
bin10010111100101001110100
3100100100111000
4102330221310
52232421103
6254243300
760135063
oct22745164
910310430
104967028
112892890
1217b6530
13104ba91
149341da
15681aa3
hex4bca74

4967028 has 96 divisors (see below), whose sum is σ = 14555520. Its totient is φ = 1451520.

The previous prime is 4967023. The next prime is 4967041. The reversal of 4967028 is 8207694.

4967028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4966983 and 4967001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43900 + ... + 44012.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

Almost surely, 24967028 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 4967028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277760).

4967028 is an abundant number, since it is smaller than the sum of its proper divisors (9588492).

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

4967028 is a wasteful number, since it uses less digits than its factorization.

4967028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4967028 is about 2228.6830191842. The cubic root of 4967028 is about 170.6208898901.

Adding to 4967028 its product of nonzero digits (24192), we get a triangular number (4991220 = T3159).

The spelling of 4967028 in words is "four million, nine hundred sixty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 113 132 148 198 222 226 297 333 339 396 407 444 452 594 666 678 814 999 1017 1188 1221 1243 1332 1356 1628 1998 2034 2442 2486 3051 3663 3729 3996 4068 4181 4884 4972 6102 7326 7458 8362 10989 11187 12204 12543 14652 14916 16724 21978 22374 25086 33561 37629 43956 44748 45991 50172 67122 75258 91982 112887 134244 137973 150516 183964 225774 275946 413919 451548 551892 827838 1241757 1655676 2483514 4967028