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2042292 = 223741593
BaseRepresentation
bin111110010100110110100
310211202111110
413302212310
51010323132
6111435020
723234130
oct7624664
93752443
102042292
11117544a
12825a70
13566775
143b23c0
152a51cc
hex1f29b4

2042292 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 568320.

The previous prime is 2042281. The next prime is 2042297. The reversal of 2042292 is 2922402.

It is a super-2 number, since 2×20422922 = 8341913226528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3148 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22042292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2042292 is an abundant number, since it is smaller than the sum of its proper divisors (3546060).

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

2042292 is a wasteful number, since it uses less digits than its factorization.

2042292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2042292 is about 1429.0878209543. The cubic root of 2042292 is about 126.8739941033.

Adding to 2042292 its reverse (2922402), we get a palindrome (4964694).

The spelling of 2042292 in words is "two million, forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 593 861 1148 1186 1722 1779 2372 3444 3558 4151 7116 8302 12453 16604 24313 24906 48626 49812 72939 97252 145878 170191 291756 340382 510573 680764 1021146 2042292