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4008052090 = 2571719177269
BaseRepresentation
bin1110111011100110…
…0000010101111010
3101100022212010211201
43232321200111322
531202030131330
61501414244414
7201215611030
oct35671402572
911308763751
104008052090
111777493949
1293a35670a
134bb4b0773
142a044c550
15186d15eca
hexeee6057a

4008052090 has 64 divisors (see below), whose sum is σ = 9189676800. Its totient is φ = 1225276416.

The previous prime is 4008052067. The next prime is 4008052099. The reversal of 4008052090 is 902508004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4008052099) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66025 + ... + 111244.

It is an arithmetic number, because the mean of its divisors is an integer number (143588700).

Almost surely, 24008052090 is an apocalyptic number.

4008052090 is an abundant number, since it is smaller than the sum of its proper divisors (5181624710).

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

4008052090 is a wasteful number, since it uses less digits than its factorization.

4008052090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177319.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4008052090 is about 63309.1785604584. The cubic root of 4008052090 is about 1588.4654960488.

The spelling of 4008052090 in words is "four billion, eight million, fifty-two thousand, ninety".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 170 190 238 266 323 595 646 665 1190 1330 1615 2261 3230 4522 11305 22610 177269 354538 886345 1240883 1772690 2481766 3013573 3368111 6027146 6204415 6736222 12408830 15067865 16840555 21095011 23576777 30135730 33681110 42190022 47153554 57257887 105475055 114515774 117883885 210950110 235767770 286289435 400805209 572578870 801610418 2004026045 4008052090