Search a number
-
+
2480742 = 2321121767
BaseRepresentation
bin1001011101101001100110
311200000221100
421131221212
51113340432
6125100530
730041325
oct11355146
94600840
102480742
111444900
129b7746
1368b1c4
144880bc
1534007c
hex25da66

2480742 has 72 divisors (see below), whose sum is σ = 6348888. Its totient is φ = 696960.

The previous prime is 2480729. The next prime is 2480743. The reversal of 2480742 is 2470842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36993 + ... + 37059.

It is an arithmetic number, because the mean of its divisors is an integer number (88179).

22480742 is an apocalyptic number.

2480742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174444).

2480742 is an abundant number, since it is smaller than the sum of its proper divisors (3868146).

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

2480742 is a wasteful number, since it uses less digits than its factorization.

2480742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

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

The square root of 2480742 is about 1575.0371424192. The cubic root of 2480742 is about 135.3714871084.

The spelling of 2480742 in words is "two million, four hundred eighty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 67 99 102 121 134 153 187 198 201 242 306 363 374 402 561 603 726 737 1089 1122 1139 1206 1474 1683 2057 2178 2211 2278 3366 3417 4114 4422 6171 6633 6834 8107 10251 12342 12529 13266 16214 18513 20502 24321 25058 37026 37587 48642 72963 75174 112761 137819 145926 225522 275638 413457 826914 1240371 2480742