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2084472 = 23321317131
BaseRepresentation
bin111111100111001111000
310220220100200
413330321320
51013200342
6112402200
723501115
oct7747170
93826320
102084472
1111a4105
12846360
1357ca20
143c390c
152b294c
hex1fce78

2084472 has 96 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 599040.

The previous prime is 2084449. The next prime is 2084479. The reversal of 2084472 is 2744802.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15847 + ... + 15977.

22084472 is an apocalyptic number.

2084472 is the 1179-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2084472 is an abundant number, since it is smaller than the sum of its proper divisors (4402008).

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

2084472 is a wasteful number, since it uses less digits than its factorization.

2084472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2084472 is about 1443.7700647956. The cubic root of 2084472 is about 127.7415030545.

It can be divided in two parts, 2084 and 472, that added together give a triangular number (2556 = T71).

The spelling of 2084472 in words is "two million, eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 131 136 153 156 204 221 234 262 306 312 393 408 442 468 524 612 663 786 884 936 1048 1179 1224 1326 1572 1703 1768 1989 2227 2358 2652 3144 3406 3978 4454 4716 5109 5304 6681 6812 7956 8908 9432 10218 13362 13624 15327 15912 17816 20043 20436 26724 28951 30654 40086 40872 53448 57902 61308 80172 86853 115804 122616 160344 173706 231608 260559 347412 521118 694824 1042236 2084472