Search a number
-
+
4138620885 = 34572971709
BaseRepresentation
bin1111011010101110…
…0101011111010101
3101200102112201120000
43312223211133111
531433441332020
61522401001513
7204362461050
oct36653453725
911612481500
104138620885
111834164143
12976023299
1350c5680c9
142b3919a97
15193508090
hexf6ae57d5

4138620885 has 160 divisors (see below), whose sum is σ = 8907148800. Its totient is φ = 1798433280.

The previous prime is 4138620877. The next prime is 4138620917. The reversal of 4138620885 is 5880268314.

4138620885 is a `hidden beast` number, since 4 + 13 + 8 + 620 + 8 + 8 + 5 = 666.

It is not a de Polignac number, because 4138620885 - 23 = 4138620877 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4138620885.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5836911 + ... + 5837619.

It is an arithmetic number, because the mean of its divisors is an integer number (55669680).

Almost surely, 24138620885 is an apocalyptic number.

4138620885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4138620885 is an abundant number, since it is smaller than the sum of its proper divisors (4768527915).

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

4138620885 is a wasteful number, since it uses less digits than its factorization.

4138620885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4138620885 is about 64332.1139478566. The cubic root of 4138620885 is about 1605.5304561599.

The spelling of 4138620885 in words is "four billion, one hundred thirty-eight million, six hundred twenty thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 71 81 87 105 135 145 189 203 213 261 315 355 405 435 497 567 609 639 709 783 945 1015 1065 1305 1491 1827 1917 2059 2127 2349 2485 2835 3045 3195 3545 3915 4473 4963 5481 5751 6177 6381 7455 9135 9585 10295 10635 11745 13419 14413 14889 16443 18531 19143 20561 22365 24815 27405 28755 30885 31905 40257 43239 44667 50339 55593 57429 61683 67095 72065 74445 82215 92655 95715 102805 129717 134001 143927 151017 166779 185049 201285 216195 223335 251695 277965 287145 308415 352373 389151 402003 431781 453051 555147 648585 670005 719635 755085 833895 925245 1057119 1167453 1295343 1359153 1459831 1665441 1761865 1945755 2010015 2158905 2265255 2775735 3171357 3886029 4077459 4379493 5285595 5837265 6476715 6795765 7299155 8327205 9514071 10218817 11658087 13138479 15856785 19430145 20387295 21897465 28542213 30656451 39415437 47570355 51094085 58290435 65692395 91969353 118246311 142711065 153282255 197077185 275908059 459846765 591231555 827724177 1379540295 4138620885