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3842011257 = 37331432801
BaseRepresentation
bin1110010100000000…
…0111000001111001
3100220202102101122020
43211000013001321
530332023330012
61433123345053
7164131362000
oct34500070171
910822371566
103842011257
1116a1795a17
128b2822189
13492c86556
14286389c37
15177468a8c
hexe5007079

3842011257 has 64 divisors (see below), whose sum is σ = 6312345600. Its totient is φ = 2074464000.

The previous prime is 3842011249. The next prime is 3842011273. The reversal of 3842011257 is 7521102483.

It is not a de Polignac number, because 3842011257 - 23 = 3842011249 is a prime.

It is a super-2 number, since 2×38420112572 = 29522100997829440098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3842011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370257 + ... + 1373057.

It is an arithmetic number, because the mean of its divisors is an integer number (98630400).

Almost surely, 23842011257 is an apocalyptic number.

It is an amenable number.

3842011257 is a deficient number, since it is larger than the sum of its proper divisors (2470334343).

3842011257 is a wasteful number, since it uses less digits than its factorization.

3842011257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3842011257 is about 61983.9596750643. The cubic root of 3842011257 is about 1566.2204047548.

The spelling of 3842011257 in words is "three billion, eight hundred forty-two million, eleven thousand, two hundred fifty-seven".

Divisors: 1 3 7 21 31 43 49 93 129 147 217 301 343 651 903 1029 1333 1519 2107 2801 3999 4557 6321 8403 9331 10633 14749 19607 27993 31899 44247 58821 65317 86831 120443 137249 195951 260493 361329 411747 457219 607817 843101 960743 1371657 1823451 2529303 2882229 3733733 4254719 5901707 11201199 12764157 17705121 26136131 29783033 41311949 78408393 89349099 123935847 182952917 548858751 1280670419 3842011257