Search a number
-
+
4057969545 = 32573283929
BaseRepresentation
bin1111000111011111…
…1011001110001001
3101110210210012201100
43301313323032021
531302320011140
61510400212013
7202363113000
oct36167731611
911423705640
104057969545
1117a2688643
1295300a009
134c893a416
142a6d23c37
1518b3c6530
hexf1dfb389

4057969545 has 96 divisors (see below), whose sum is σ = 8240544000. Its totient is φ = 1846526976.

The previous prime is 4057969541. The next prime is 4057969607. The reversal of 4057969545 is 5459697504.

4057969545 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 96 + 9 + 545 = 666.

It is not a de Polignac number, because 4057969545 - 22 = 4057969541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4057969491 and 4057969500.

It is not an unprimeable number, because it can be changed into a prime (4057969541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4367641 + ... + 4368569.

It is an arithmetic number, because the mean of its divisors is an integer number (85839000).

Almost surely, 24057969545 is an apocalyptic number.

4057969545 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4057969545 is an abundant number, since it is smaller than the sum of its proper divisors (4182574455).

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

4057969545 is a wasteful number, since it uses less digits than its factorization.

4057969545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 4057969545 is about 63702.1941929789. The cubic root of 4057969545 is about 1595.0327125820.

The spelling of 4057969545 in words is "four billion, fifty-seven million, nine hundred sixty-nine thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 283 315 343 441 735 849 929 1029 1415 1715 1981 2205 2547 2787 3087 4245 4645 5145 5943 6503 8361 9905 12735 13867 13935 15435 17829 19509 29715 32515 41601 41805 45521 58527 69335 89145 97069 97545 124803 136563 208005 227605 262907 291207 292635 318647 409689 485345 624015 682815 788721 873621 955941 1314535 1456035 1593235 1840349 2048445 2366163 2867823 3943605 4368105 4779705 5521047 9201745 11830815 12882443 14339115 16563141 27605235 38647329 64412215 82815705 90177101 115941987 193236645 270531303 450885505 579709935 811593909 1352656515 4057969545