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4957344 = 253272459
BaseRepresentation
bin10010111010010010100000
3100022212012100
4102322102200
52232113334
6254130400
760064620
oct22722240
910285170
104957344
112886587
1217b0a00
131047552
14930880
1567dc99
hex4ba4a0

4957344 has 72 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1415808.

The previous prime is 4957333. The next prime is 4957349. The reversal of 4957344 is 4437594.

4957344 is a `hidden beast` number, since 49 + 573 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4957299 and 4957308.

It is not an unprimeable number, because it can be changed into a prime (4957349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 24957344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

4957344 is an abundant number, since it is smaller than the sum of its proper divisors (11160576).

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

4957344 is a wasteful number, since it uses less digits than its factorization.

4957344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2471 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4957344 is about 2226.5093756820. The cubic root of 4957344 is about 170.5099336897.

The spelling of 4957344 in words is "four million, nine hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2459 4918 7377 9836 14754 17213 19672 22131 29508 34426 39344 44262 51639 59016 68852 78688 88524 103278 118032 137704 154917 177048 206556 236064 275408 309834 354096 413112 550816 619668 708192 826224 1239336 1652448 2478672 4957344