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4092004257 = 311261283653
BaseRepresentation
bin1111001111100111…
…0000011110100001
3101120011211100120020
43303321300132201
531340023114012
61514013504053
7203255314365
oct36371603641
911504740506
104092004257
11180a914400
129624a2029
135029c59c3
142ab6632a5
1518e39aa8c
hexf3e707a1

4092004257 has 48 divisors (see below), whose sum is σ = 6126316224. Its totient is φ = 2427004800.

The previous prime is 4092004253. The next prime is 4092004271. The reversal of 4092004257 is 7524002904.

It is not a de Polignac number, because 4092004257 - 22 = 4092004253 is a prime.

It is a super-2 number, since 2×40920042572 = 33488997678612244098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4092004253) 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, 6266143 + ... + 6266795.

It is an arithmetic number, because the mean of its divisors is an integer number (127631588).

Almost surely, 24092004257 is an apocalyptic number.

It is an amenable number.

4092004257 is a deficient number, since it is larger than the sum of its proper divisors (2034311967).

4092004257 is a wasteful number, since it uses less digits than its factorization.

4092004257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4092004257 is about 63968.7756409328. The cubic root of 4092004257 is about 1599.4795516904.

The spelling of 4092004257 in words is "four billion, ninety-two million, four thousand, two hundred fifty-seven".

Divisors: 1 3 11 33 61 121 183 283 363 653 671 849 1959 2013 3113 7183 7381 9339 17263 21549 22143 34243 39833 51789 79013 102729 119499 184799 189893 237039 438163 554397 569679 1314489 2032789 2088823 4819793 6098367 6266469 11272739 14459379 22360679 33818217 67082037 124000129 372000387 1364001419 4092004257