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2057435373 = 37231716359
BaseRepresentation
bin111101010100001…
…1111100011101101
312022101102112202010
41322220133203231
513203200412443
6540053551433
7101661624600
oct17250374355
95271375663
102057435373
11966406714
12495045579
1326a336ba6
1415736a337
15c095a733
hex7aa1f8ed

2057435373 has 48 divisors (see below), whose sum is σ = 3340984320. Its totient is φ = 1121551200.

The previous prime is 2057435333. The next prime is 2057435407. The reversal of 2057435373 is 3735347502.

It is not a de Polignac number, because 2057435373 - 220 = 2056386797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057435323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320368 + ... + 326726.

It is an arithmetic number, because the mean of its divisors is an integer number (69603840).

Almost surely, 22057435373 is an apocalyptic number.

It is an amenable number.

2057435373 is a deficient number, since it is larger than the sum of its proper divisors (1283548947).

2057435373 is a wasteful number, since it uses less digits than its factorization.

2057435373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 39.

The square root of 2057435373 is about 45358.9613307007. The cubic root of 2057435373 is about 1271.8680783393.

The spelling of 2057435373 in words is "two billion, fifty-seven million, four hundred thirty-five thousand, three hundred seventy-three".

Divisors: 1 3 7 21 31 49 71 93 147 213 217 497 651 1491 1519 2201 3479 4557 6359 6603 10437 15407 19077 44513 46221 107849 133539 197129 311591 323547 451489 591387 934773 1354467 1379903 3160423 4139709 9481269 9659321 13996159 22122961 28977963 41988477 66368883 97973113 293919339 685811791 2057435373