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3842407257 = 313257523733
BaseRepresentation
bin1110010100000110…
…0111101101011001
3100220210011111211220
43211001213231121
530332124013012
61433140042253
7164134631343
oct34501475531
910823144756
103842407257
1116a1a36497
128b2993389
13493094880
14286450293
151774e608c
hexe5067b59

3842407257 has 32 divisors (see below), whose sum is σ = 5556931968. Its totient is φ = 2347646976.

The previous prime is 3842407253. The next prime is 3842407277. The reversal of 3842407257 is 7527042483.

It is a happy number.

It is not a de Polignac number, because 3842407257 - 22 = 3842407253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3842407253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5241663 + ... + 5242395.

It is an arithmetic number, because the mean of its divisors is an integer number (173654124).

Almost surely, 23842407257 is an apocalyptic number.

It is an amenable number.

3842407257 is a deficient number, since it is larger than the sum of its proper divisors (1714524711).

3842407257 is a wasteful number, since it uses less digits than its factorization.

3842407257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529.

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 3842407257 is about 61987.1539675762. The cubic root of 3842407257 is about 1566.2742135484.

The spelling of 3842407257 in words is "three billion, eight hundred forty-two million, four hundred seven thousand, two hundred fifty-seven".

Divisors: 1 3 13 39 257 523 733 771 1569 2199 3341 6799 9529 10023 20397 28587 134411 188381 383359 403233 565143 1150077 1747343 2448953 4983667 5242029 7346859 14951001 98523263 295569789 1280802419 3842407257