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4056852735 = 3351319891367
BaseRepresentation
bin1111000111001110…
…1010100011111111
3101110201200110202000
43301303222203333
531302023241420
61510320233343
7202350451665
oct36163524377
911421613660
104056852735
1117a1a95561
1295276b853
134c8638ca0
142a6b12c35
1518b255690
hexf1cea8ff

4056852735 has 128 divisors (see below), whose sum is σ = 8273664000. Its totient is φ = 1869474816.

The previous prime is 4056852733. The next prime is 4056852739. The reversal of 4056852735 is 5372586504.

4056852735 is a `hidden beast` number, since 4 + 0 + 568 + 52 + 7 + 35 = 666.

It is not a de Polignac number, because 4056852735 - 21 = 4056852733 is a prime.

It is a super-2 number, since 2×40568527352 = 32916108226953960450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 4216811265 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056852733) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2967022 + ... + 2968388.

It is an arithmetic number, because the mean of its divisors is an integer number (64638000).

Almost surely, 24056852735 is an apocalyptic number.

4056852735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4056852735 is an abundant number, since it is smaller than the sum of its proper divisors (4216811265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4056852735 is a wasteful number, since it uses less digits than its factorization.

4056852735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 4056852735 is about 63693.4277221755. The cubic root of 4056852735 is about 1594.8863740494.

The spelling of 4056852735 in words is "four billion, fifty-six million, eight hundred fifty-two thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 89 95 117 135 171 195 247 267 285 351 445 513 585 741 801 855 1157 1235 1335 1367 1691 1755 2223 2403 2565 3471 3705 4005 4101 5073 5785 6669 6835 8455 10413 11115 12015 12303 15219 17355 17771 20505 21983 25365 25973 31239 33345 36909 45657 52065 53313 61515 65949 76095 77919 88855 109915 121663 129865 156195 159939 184545 197847 228285 233757 266565 329745 337649 364989 389595 479817 593541 608315 701271 799695 989235 1012947 1094967 1168785 1581619 1688245 1824945 2311597 2399085 2967705 3038841 3284901 3506355 4744857 5064735 5474835 6934791 7908095 9116523 11557985 14234571 15194205 16424505 20804373 23724285 30050761 34673955 42703713 45582615 62413119 71172855 90152283 104021865 150253805 213518565 270456849 312065595 450761415 811370547 1352284245 4056852735