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4957056 = 273213331
BaseRepresentation
bin10010111010001110000000
3100022211210200
4102322032000
52232111211
6254125200
760064026
oct22721600
910284720
104957056
112886345
1217b0800
131047390
14930716
1567db56
hex4ba380

4957056 has 96 divisors (see below), whose sum is σ = 15408120. Its totient is φ = 1520640.

The previous prime is 4957049. The next prime is 4957063. The reversal of 4957056 is 6507594.

It is an interprime number because it is at equal distance from previous prime (4957049) and next prime (4957063).

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

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

It is a d-powerful number, because it can be written as 45 + 97 + 57 + 75 + 0 + 57 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4957056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14811 + ... + 15141.

Almost surely, 24957056 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 4957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704060).

4957056 is an abundant number, since it is smaller than the sum of its proper divisors (10451064).

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

4957056 is a wasteful number, since it uses less digits than its factorization.

4957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4957056 is about 2226.4446995154. Note that the first 3 decimals coincide. The cubic root of 4957056 is about 170.5066316653.

The spelling of 4957056 in words is "four million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 331 384 416 468 576 624 662 832 936 993 1152 1248 1324 1664 1872 1986 2496 2648 2979 3744 3972 4303 4992 5296 5958 7488 7944 8606 10592 11916 12909 14976 15888 17212 21184 23832 25818 31776 34424 38727 42368 47664 51636 63552 68848 77454 95328 103272 127104 137696 154908 190656 206544 275392 309816 381312 413088 550784 619632 826176 1239264 1652352 2478528 4957056