Search a number
-
+
4962000 = 24353827
BaseRepresentation
bin10010111011011011010000
3100100002120210
4102323123100
52232241000
6254204120
760114321
oct22733320
910302523
104962000
11288a02a
1217b3640
1310496c4
14932448
15680350
hex4bb6d0

4962000 has 80 divisors (see below), whose sum is σ = 16016832. Its totient is φ = 1321600.

The previous prime is 4961969. The next prime is 4962037. The reversal of 4962000 is 2694.

4962000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5587 + ... + 6413.

Almost surely, 24962000 is an apocalyptic number.

4962000 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 4962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008416).

4962000 is an abundant number, since it is smaller than the sum of its proper divisors (11054832).

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

4962000 is a wasteful number, since it uses less digits than its factorization.

4962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4962000 is about 2227.5547131328. The cubic root of 4962000 is about 170.5632986794.

Adding to 4962000 its reverse (2694), we get a palindrome (4964694).

The spelling of 4962000 in words is "four million, nine hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 827 1000 1200 1500 1654 2000 2481 3000 3308 4135 4962 6000 6616 8270 9924 12405 13232 16540 19848 20675 24810 33080 39696 41350 49620 62025 66160 82700 99240 103375 124050 165400 198480 206750 248100 310125 330800 413500 496200 620250 827000 992400 1240500 1654000 2481000 4962000