Search a number
-
+
4903040 = 27547163
BaseRepresentation
bin10010101101000010000000
3100020002201002
4102231002000
52223344130
6253031132
756450402
oct22550200
910202632
104903040
1128497aa
1217854a8
13102890c
14918b72
1566cb45
hex4ad080

4903040 has 64 divisors (see below), whose sum is σ = 12044160. Its totient is φ = 1907712.

The previous prime is 4902971. The next prime is 4903043. The reversal of 4903040 is 403094.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4903043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29999 + ... + 30161.

It is an arithmetic number, because the mean of its divisors is an integer number (188190).

Almost surely, 24903040 is an apocalyptic number.

4903040 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 4903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022080).

4903040 is an abundant number, since it is smaller than the sum of its proper divisors (7141120).

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

4903040 is a wasteful number, since it uses less digits than its factorization.

4903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4903040 is about 2214.2809216538. The cubic root of 4903040 is about 169.8850433894.

The spelling of 4903040 in words is "four million, nine hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 163 188 235 320 326 376 470 640 652 752 815 940 1304 1504 1630 1880 2608 3008 3260 3760 5216 6016 6520 7520 7661 10432 13040 15040 15322 20864 26080 30080 30644 38305 52160 61288 76610 104320 122576 153220 245152 306440 490304 612880 980608 1225760 2451520 4903040