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4954960 = 245241257
BaseRepresentation
bin10010111001101101010000
3100022201221001
4102321231100
52232024320
6254111344
760054643
oct22715520
910281831
104954960
11288480a
1217ab554
13104643a
1492da5a
1567d20a
hex4b9b50

4954960 has 40 divisors (see below), whose sum is σ = 11613096. Its totient is φ = 1966080.

The previous prime is 4954951. The next prime is 4954967. The reversal of 4954960 is 694594.

4954960 = T1816 + T1817 + T1818.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 2483776 = 1572^2 + 1576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4954967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19152 + ... + 19408.

Almost surely, 24954960 is an apocalyptic number.

4954960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4954960 is the 1818-th centered triangular number.

It is an amenable number.

4954960 is an abundant number, since it is smaller than the sum of its proper divisors (6658136).

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

4954960 is a wasteful number, since it uses less digits than its factorization.

4954960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 4954960 is about 2225.9739441422. The cubic root of 4954960 is about 170.4825964125.

The spelling of 4954960 in words is "four million, nine hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 257 482 514 964 1028 1205 1285 1928 2056 2410 2570 3856 4112 4820 5140 9640 10280 19280 20560 61937 123874 247748 309685 495496 619370 990992 1238740 2477480 4954960