Search a number
-
+
2029482 = 233721359
BaseRepresentation
bin111101111011110101010
310211002221000
413233132222
51004420412
6111255430
723151600
oct7573652
93732830
102029482
111166864
1281a576
135609a0
143ab870
152a14dc
hex1ef7aa

2029482 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 526176.

The previous prime is 2029457. The next prime is 2029483. The reversal of 2029482 is 2849202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2029483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34369 + ... + 34427.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

22029482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2029482 is an abundant number, since it is smaller than the sum of its proper divisors (3716118).

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

2029482 is a wasteful number, since it uses less digits than its factorization.

2029482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2029482 is about 1424.5988909163. The cubic root of 2029482 is about 126.6081708974.

The spelling of 2029482 in words is "two million, twenty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 59 63 78 91 98 117 118 126 147 177 182 189 234 273 294 351 354 378 413 441 531 546 637 702 767 819 826 882 1062 1239 1274 1323 1534 1593 1638 1911 2301 2457 2478 2646 2891 3186 3717 3822 4602 4914 5369 5733 5782 6903 7434 8673 10738 11151 11466 13806 16107 17199 17346 20709 22302 26019 32214 34398 37583 41418 48321 52038 75166 78057 96642 112749 144963 156114 225498 289926 338247 676494 1014741 2029482