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2481024 = 27371371
BaseRepresentation
bin1001011101101110000000
311200001022210
421131232000
51113343044
6125102120
730042210
oct11355600
94601283
102481024
111445037
129b7940
1368b380
14488240
153401b9
hex25db80

2481024 has 128 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 645120.

The previous prime is 2481019. The next prime is 2481029. The reversal of 2481024 is 4201842.

It is an interprime number because it is at equal distance from previous prime (2481019) and next prime (2481029).

It is a tau number, because it is divible by the number of its divisors (128).

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 (2481029) 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, 34909 + ... + 34979.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

22481024 is an apocalyptic number.

2481024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2481024 is an abundant number, since it is smaller than the sum of its proper divisors (5744256).

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

2481024 is a wasteful number, since it uses less digits than its factorization.

2481024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2481024 is about 1575.1266615736. The cubic root of 2481024 is about 135.3766163954.

Adding to 2481024 its reverse (4201842), we get a palindrome (6682866).

The spelling of 2481024 in words is "two million, four hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 71 78 84 91 96 104 112 128 142 156 168 182 192 208 213 224 273 284 312 336 364 384 416 426 448 497 546 568 624 672 728 832 852 896 923 994 1092 1136 1248 1344 1456 1491 1664 1704 1846 1988 2184 2272 2496 2688 2769 2912 2982 3408 3692 3976 4368 4544 4992 5538 5824 5964 6461 6816 7384 7952 8736 9088 11076 11648 11928 12922 13632 14768 15904 17472 19383 22152 23856 25844 27264 29536 31808 34944 38766 44304 47712 51688 59072 63616 77532 88608 95424 103376 118144 155064 177216 190848 206752 310128 354432 413504 620256 827008 1240512 2481024