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4935480 = 2335113739
BaseRepresentation
bin10010110100111100111000
3100021202012120
4102310330320
52230413410
6253441240
756644104
oct22647470
910252176
104935480
112871110
1217a0220
13103a604
14926904
15677570
hex4b4f38

4935480 has 64 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1196160.

The previous prime is 4935461. The next prime is 4935487. The reversal of 4935480 is 845394.

4935480 is digitally balanced in base 5, 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550 + ... + 3189.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 24935480 is an apocalyptic number.

4935480 is a gapful number since it is divisible by the number (40) 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 4935480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

4935480 is an abundant number, since it is smaller than the sum of its proper divisors (11221320).

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

4935480 is a wasteful number, since it uses less digits than its factorization.

4935480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4935480 is about 2221.5940223182. The cubic root of 4935480 is about 170.2588904300.

The spelling of 4935480 in words is "four million, nine hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3739 7478 11217 14956 18695 22434 29912 37390 41129 44868 56085 74780 82258 89736 112170 123387 149560 164516 205645 224340 246774 329032 411290 448680 493548 616935 822580 987096 1233870 1645160 2467740 4935480