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4930128 = 243276773
BaseRepresentation
bin10010110011101001010000
3100021110212100
4102303221100
52230231003
6253400400
756622360
oct22635120
910243770
104930128
112868095
121799100
131038048
149249a0
15675ba3
hex4b3a50

4930128 has 120 divisors (see below), whose sum is σ = 16223168. Its totient is φ = 1368576.

The previous prime is 4930109. The next prime is 4930129. The reversal of 4930128 is 8210394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67500 + ... + 67572.

Almost surely, 24930128 is an apocalyptic number.

4930128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4930128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111584).

4930128 is an abundant number, since it is smaller than the sum of its proper divisors (11293040).

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

4930128 is a wasteful number, since it uses less digits than its factorization.

4930128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4930128 is about 2220.3891550807. The cubic root of 4930128 is about 170.1973256544.

Subtracting from 4930128 its product of nonzero digits (1728), we obtain a square (4928400 = 22202).

The spelling of 4930128 in words is "four million, nine hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 73 84 112 126 134 144 146 168 201 219 252 268 292 336 402 438 469 504 511 536 584 603 657 804 876 938 1008 1022 1072 1168 1206 1314 1407 1533 1608 1752 1876 2044 2412 2628 2814 3066 3216 3504 3752 4088 4221 4599 4824 4891 5256 5628 6132 7504 8176 8442 9198 9648 9782 10512 11256 12264 14673 16884 18396 19564 22512 24528 29346 33768 34237 36792 39128 44019 58692 67536 68474 73584 78256 88038 102711 117384 136948 176076 205422 234768 273896 308133 352152 410844 547792 616266 704304 821688 1232532 1643376 2465064 4930128