Search a number
-
+
2139938325 = 335271726641
BaseRepresentation
bin111111110001100…
…1101111000010101
312112010200010112000
41333203031320111
513340311011300
6552202145513
7104013114150
oct17743157025
95463603460
102139938325
119a8a37378
124b87b2299
132814625c5
141642c4c97
15c7d05c00
hex7f8cde15

2139938325 has 96 divisors (see below), whose sum is σ = 4757195520. Its totient is φ = 920678400.

The previous prime is 2139938299. The next prime is 2139938347. The reversal of 2139938325 is 5238399312.

It is not a de Polignac number, because 2139938325 - 28 = 2139938069 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67005 + ... + 93645.

It is an arithmetic number, because the mean of its divisors is an integer number (49554120).

Almost surely, 22139938325 is an apocalyptic number.

2139938325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2139938325 is an abundant number, since it is smaller than the sum of its proper divisors (2617257195).

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

2139938325 is a wasteful number, since it uses less digits than its factorization.

2139938325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26684 (or 26673 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2139938325 is about 46259.4674093855. The cubic root of 2139938325 is about 1288.6463626680.

The spelling of 2139938325 in words is "two billion, one hundred thirty-nine million, nine hundred thirty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 135 153 175 189 225 255 315 357 425 459 525 595 675 765 945 1071 1275 1575 1785 2295 2975 3213 3825 4725 5355 8925 11475 16065 26641 26775 79923 80325 133205 186487 239769 399615 452897 559461 666025 719307 932435 1198845 1358691 1678383 1998075 2264485 2797305 3170279 3596535 4076073 4662175 5035149 5994225 6793455 8391915 9510837 11322425 12228219 13986525 15851395 17982675 20380365 25175745 28532511 33967275 41959575 47554185 61141095 79256975 85597533 101901825 125878725 142662555 237770925 305705475 427987665 713312775 2139938325