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4957536 = 253113457
BaseRepresentation
bin10010111010010101100000
3100022212110110
4102322111200
52232120121
6254131320
760065313
oct22722540
910285413
104957536
112886741
1217b0b40
13104766c
1493097a
1567dd76
hex4ba560

4957536 has 48 divisors (see below), whose sum is σ = 13157424. Its totient is φ = 1634304.

The previous prime is 4957529. The next prime is 4957549. The reversal of 4957536 is 6357594.

4957536 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4957494 and 4957503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10620 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (274113).

Almost surely, 24957536 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 4957536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578712).

4957536 is an abundant number, since it is smaller than the sum of its proper divisors (8199888).

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

4957536 is a wasteful number, since it uses less digits than its factorization.

4957536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 4957536 is about 2226.5524920828. The cubic root of 4957536 is about 170.5121349682.

The spelling of 4957536 in words is "four million, nine hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 457 678 904 914 1356 1371 1808 1828 2712 2742 3616 3656 5424 5484 7312 10848 10968 14624 21936 43872 51641 103282 154923 206564 309846 413128 619692 826256 1239384 1652512 2478768 4957536