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3979057257 = 337411074799
BaseRepresentation
bin1110110100101011…
…1001100001101001
3101021022022001102000
43231022321201221
531122114313012
61454501001213
7200414300010
oct35512714151
911238261360
103979057257
11176208a67a
129306b3209
134b549b166
1429a661a77
151844d9ddc
hexed2b9869

3979057257 has 64 divisors (see below), whose sum is σ = 6967296000. Its totient is φ = 2197100160.

The previous prime is 3979057253. The next prime is 3979057289. The reversal of 3979057257 is 7527509793.

It is not a de Polignac number, because 3979057257 - 22 = 3979057253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3979057253) 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 63 ways as a sum of consecutive naturals, for example, 826744 + ... + 831542.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 23979057257 is an apocalyptic number.

It is an amenable number.

3979057257 is a deficient number, since it is larger than the sum of its proper divisors (2988238743).

3979057257 is a wasteful number, since it uses less digits than its factorization.

3979057257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The square root of 3979057257 is about 63079.7689992600. The cubic root of 3979057257 is about 1584.6258252240.

The spelling of 3979057257 in words is "three billion, nine hundred seventy-nine million, fifty-seven thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 21 27 41 63 107 123 189 287 321 369 749 861 963 1107 2247 2583 2889 4387 4799 6741 7749 13161 14397 20223 30709 33593 39483 43191 92127 100779 118449 129573 196759 276381 302337 513493 590277 829143 907011 1377313 1540479 1770831 3594451 4131939 4621437 5312493 10783353 12395817 13864311 21053213 32350059 37187451 63159639 97050177 147372491 189478917 442117473 568436751 1326352419 3979057257