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4906104 = 2337192953
BaseRepresentation
bin10010101101110001111000
3100020020220120
4102231301320
52223443404
6253053240
756462340
oct22556170
910206816
104906104
112851035
121787220
13102a128
14919d20
1566d9d9
hex4adc78

4906104 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1257984.

The previous prime is 4906103. The next prime is 4906127. The reversal of 4906104 is 4016094.

4906104 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906103) 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, 92542 + ... + 92594.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 24906104 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 4906104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

4906104 is an abundant number, since it is smaller than the sum of its proper divisors (10645896).

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

4906104 is a wasteful number, since it uses less digits than its factorization.

4906104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4906104 is about 2214.9726860618. The cubic root of 4906104 is about 169.9204241179.

The spelling of 4906104 in words is "four million, nine hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 53 56 57 58 76 84 87 106 114 116 133 152 159 168 174 203 212 228 232 266 318 348 371 399 406 424 456 532 551 609 636 696 742 798 812 1007 1064 1102 1113 1218 1272 1484 1537 1596 1624 1653 2014 2204 2226 2436 2968 3021 3074 3192 3306 3857 4028 4408 4452 4611 4872 6042 6148 6612 7049 7714 8056 8904 9222 10759 11571 12084 12296 13224 14098 15428 18444 21147 21518 23142 24168 28196 29203 30856 32277 36888 42294 43036 46284 56392 58406 64554 84588 86072 87609 92568 116812 129108 169176 175218 204421 233624 258216 350436 408842 613263 700872 817684 1226526 1635368 2453052 4906104