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2465988 = 223731947
BaseRepresentation
bin1001011010000011000100
311122021200220
421122003010
51112402423
6124504340
726650320
oct11320304
94567626
102465988
111434808
129ab0b0
13684585
14482980
1533a9e3
hex25a0c4

2465988 has 48 divisors (see below), whose sum is σ = 6795264. Its totient is φ = 681120.

The previous prime is 2465977. The next prime is 2465989. The reversal of 2465988 is 8895642.

It is a super-2 number, since 2×24659882 = 12162193632288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2465989) 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, 2131 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (141568).

22465988 is an apocalyptic number.

2465988 is a gapful number since it is divisible by the number (28) 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 2465988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397632).

2465988 is an abundant number, since it is smaller than the sum of its proper divisors (4329276).

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

2465988 is a wasteful number, since it uses less digits than its factorization.

2465988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 990 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2465988 is about 1570.3464585880. The cubic root of 2465988 is about 135.1025832095.

The spelling of 2465988 in words is "two million, four hundred sixty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 947 1302 1894 2604 2841 3788 5682 6629 11364 13258 19887 26516 29357 39774 58714 79548 88071 117428 176142 205499 352284 410998 616497 821996 1232994 2465988