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4042273368 = 2337234392383
BaseRepresentation
bin1111000011110000…
…0011001001011000
3101102201020202121110
43300330003021120
531234310221433
61505035540320
7202112520360
oct36074031130
911381222543
104042273368
1117948378a1
129498ba6a0
134c5602c43
142a4bd99a0
15189d25963
hexf0f03258

4042273368 has 128 divisors (see below), whose sum is σ = 12084019200. Its totient is φ = 1101741696.

The previous prime is 4042273357. The next prime is 4042273369. The reversal of 4042273368 is 8633722404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042273369) 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, 1695105 + ... + 1697487.

It is an arithmetic number, because the mean of its divisors is an integer number (94406400).

Almost surely, 24042273368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042273368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042009600).

4042273368 is an abundant number, since it is smaller than the sum of its proper divisors (8041745832).

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

4042273368 is a wasteful number, since it uses less digits than its factorization.

4042273368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 4042273368 is about 63578.8751709245. The cubic root of 4042273368 is about 1592.9735329370.

The spelling of 4042273368 in words is "four billion, forty-two million, two hundred seventy-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 439 483 552 644 878 966 1288 1317 1756 1932 2383 2634 3073 3512 3864 4766 5268 6146 7149 9219 9532 10097 10536 12292 14298 16681 18438 19064 20194 24584 28596 30291 33362 36876 40388 50043 54809 57192 60582 66724 70679 73752 80776 100086 109618 121164 133448 141358 164427 200172 212037 219236 242328 282716 328854 383663 400344 424074 438472 565432 657708 767326 848148 1046137 1150989 1315416 1534652 1696296 2092274 2301978 3069304 3138411 4184548 4603956 6276822 7322959 8369096 9207912 12553644 14645918 21968877 24061151 25107288 29291836 43937754 48122302 58583672 72183453 87875508 96244604 144366906 168428057 175751016 192489208 288733812 336856114 505284171 577467624 673712228 1010568342 1347424456 2021136684 4042273368