Search a number
-
+
4990560 = 253537281
BaseRepresentation
bin10011000010011001100000
3100101112202120
4103002121200
52234144220
6254544240
760263511
oct23023140
910345676
104990560
1128a9533
121808080
1310596c3
1493ca08
15688a40
hex4c2660

4990560 has 96 divisors (see below), whose sum is σ = 16202592. Its totient is φ = 1290240.

The previous prime is 4990547. The next prime is 4990567. The reversal of 4990560 is 650994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×49905602 = 49811378227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4990567) 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, 17620 + ... + 17900.

It is an arithmetic number, because the mean of its divisors is an integer number (168777).

Almost surely, 24990560 is an apocalyptic number.

4990560 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 4990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101296).

4990560 is an abundant number, since it is smaller than the sum of its proper divisors (11212032).

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

4990560 is a wasteful number, since it uses less digits than its factorization.

4990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4990560 is about 2233.9561320671. The cubic root of 4990560 is about 170.8899123849.

It can be divided in two parts, 49 and 90560, that added together give a palindrome (90609).

The spelling of 4990560 in words is "four million, nine hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 281 296 370 444 480 555 562 592 740 843 888 1110 1124 1184 1405 1480 1686 1776 2220 2248 2810 2960 3372 3552 4215 4440 4496 5620 5920 6744 8430 8880 8992 10397 11240 13488 16860 17760 20794 22480 26976 31191 33720 41588 44960 51985 62382 67440 83176 103970 124764 134880 155955 166352 207940 249528 311910 332704 415880 499056 623820 831760 998112 1247640 1663520 2495280 4990560