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4738257 = 35173137
BaseRepresentation
bin10010000100110011010001
322220201200000
4102010303101
52203111012
6245320213
755163106
oct22046321
98821600
104738257
112746a17
121706069
13c9b904
148b4aad
15638ddc
hex484cd1

4738257 has 48 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 2799360.

The previous prime is 4738249. The next prime is 4738259. The reversal of 4738257 is 7528374.

It is not a de Polignac number, because 4738257 - 23 = 4738249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4738259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128043 + ... + 128079.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 24738257 is an apocalyptic number.

4738257 is the 1377-th heptagonal number.

It is an amenable number.

4738257 is a deficient number, since it is larger than the sum of its proper divisors (3228975).

4738257 is a wasteful number, since it uses less digits than its factorization.

4738257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4738257 is about 2176.7537756944. The cubic root of 4738257 is about 167.9601308453.

The spelling of 4738257 in words is "four million, seven hundred thirty-eight thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 27 31 37 51 81 93 111 153 243 279 333 459 527 629 837 999 1147 1377 1581 1887 2511 2997 3441 4131 4743 5661 7533 8991 10323 14229 16983 19499 30969 42687 50949 58497 92907 128061 152847 175491 278721 526473 1579419 4738257