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2483292 = 2237173747
BaseRepresentation
bin1001011110010001011100
311200011102210
421132101130
51113431132
6125120420
730051630
oct11362134
94604383
102483292
111446809
129b9110
1368c406
14488dc0
15340bcc
hex25e45c

2483292 has 96 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 635904.

The previous prime is 2483291. The next prime is 2483381. The reversal of 2483292 is 2923842.

2483292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52813 + ... + 52859.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

22483292 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 2483292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2483292 is an abundant number, since it is smaller than the sum of its proper divisors (4871076).

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

2483292 is a wasteful number, since it uses less digits than its factorization.

2483292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2483292 is about 1575.8464392193. The cubic root of 2483292 is about 135.4178548324.

It can be divided in two parts, 2483 and 292, that added together give a triangular number (2775 = T74).

The spelling of 2483292 in words is "two million, four hundred eighty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 47 51 68 74 84 94 102 111 119 141 148 188 204 222 238 259 282 329 357 444 476 518 564 629 658 714 777 799 987 1036 1258 1316 1428 1554 1598 1739 1887 1974 2397 2516 3108 3196 3478 3774 3948 4403 4794 5217 5593 6956 7548 8806 9588 10434 11186 12173 13209 16779 17612 20868 22372 24346 26418 29563 33558 36519 48692 52836 59126 67116 73038 88689 118252 146076 177378 206941 354756 413882 620823 827764 1241646 2483292