Search a number
-
+
2084269638 = 23111910331609
BaseRepresentation
bin111110000111011…
…0110111001000110
312101020220212102210
41330032312321012
513232033112023
6542453044250
7102435666603
oct17416667106
95336825383
102084269638
1197a5746a0
124a2026686
13272a70c59
1415ab536aa
15c2eab593
hex7c3b6e46

2084269638 has 64 divisors (see below), whose sum is σ = 4794451200. Its totient is φ = 597404160.

The previous prime is 2084269631. The next prime is 2084269651. The reversal of 2084269638 is 8369624802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084269631) 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, 1294578 + ... + 1296186.

It is an arithmetic number, because the mean of its divisors is an integer number (74913300).

Almost surely, 22084269638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084269638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397225600).

2084269638 is an abundant number, since it is smaller than the sum of its proper divisors (2710181562).

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

2084269638 is a wasteful number, since it uses less digits than its factorization.

2084269638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677.

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2084269638 is about 45653.8020103474. The cubic root of 2084269638 is about 1277.3736917591.

The spelling of 2084269638 in words is "two billion, eighty-four million, two hundred sixty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1033 1254 1609 2066 3099 3218 4827 6198 9654 11363 17699 19627 22726 30571 34089 35398 39254 53097 58881 61142 68178 91713 106194 117762 183426 215897 336281 431794 647691 672562 1008843 1295382 1662097 2017686 3324194 4986291 9972582 18283067 31579843 36566134 54849201 63159686 94739529 109698402 189479058 347378273 694756546 1042134819 2084269638