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4957472 = 251317701
BaseRepresentation
bin10010111010010100100000
3100022212101002
4102322110200
52232114342
6254131132
760065162
oct22722440
910285332
104957472
112886693
1217b0aa8
131047620
14930932
1567dd32
hex4ba520

4957472 has 48 divisors (see below), whose sum is σ = 11144952. Its totient is φ = 2150400.

The previous prime is 4957471. The next prime is 4957483. The reversal of 4957472 is 2747594.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 274576 = 2164^2 + 524^2 .

It is not an unprimeable number, because it can be changed into a prime (4957471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6722 + ... + 7422.

Almost surely, 24957472 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 4957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572476).

4957472 is an abundant number, since it is smaller than the sum of its proper divisors (6187480).

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

4957472 is a wasteful number, since it uses less digits than its factorization.

4957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 4957472 is about 2226.5381200420. The cubic root of 4957472 is about 170.5114012150.

The spelling of 4957472 in words is "four million, nine hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 701 884 1402 1768 2804 3536 5608 7072 9113 11216 11917 18226 22432 23834 36452 47668 72904 95336 145808 154921 190672 291616 309842 381344 619684 1239368 2478736 4957472