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2475984 = 24377369
BaseRepresentation
bin1001011100011111010000
311122210102010
421130133100
51113212414
6125022520
730021420
oct11343720
94583363
102475984
111441275
129b4a40
13688ca4
14486480
1533d959
hex25c7d0

2475984 has 40 divisors (see below), whose sum is σ = 7311040. Its totient is φ = 707328.

The previous prime is 2475971. The next prime is 2475989. The reversal of 2475984 is 4895742.

2475984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24759842 = 12260993536512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2475989) 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 7 ways as a sum of consecutive naturals, for example, 3349 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (182776).

22475984 is an apocalyptic number.

2475984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2475984 is an abundant number, since it is smaller than the sum of its proper divisors (4835056).

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

2475984 is a wasteful number, since it uses less digits than its factorization.

2475984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7381 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2475984 is about 1573.5259769066. The cubic root of 2475984 is about 135.2848853628.

The spelling of 2475984 in words is "two million, four hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 7369 14738 22107 29476 44214 51583 58952 88428 103166 117904 154749 176856 206332 309498 353712 412664 618996 825328 1237992 2475984