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2406048 = 25371353
BaseRepresentation
bin1001001011011010100000
311112020110220
421023122200
51103443143
6123323040
726310501
oct11133240
94466426
102406048
1113a3777
12980480
136631c8
14468ba8
15327d83
hex24b6a0

2406048 has 48 divisors (see below), whose sum is σ = 6422976. Its totient is φ = 788480.

The previous prime is 2406029. The next prime is 2406067. The reversal of 2406048 is 8406042.

It is an interprime number because it is at equal distance from previous prime (2406029) and next prime (2406067).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 25 + 43 + 0 + 66 + 0 + 49 + 87 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6640 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (133812).

22406048 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 2406048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211488).

2406048 is an abundant number, since it is smaller than the sum of its proper divisors (4016928).

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

2406048 is a wasteful number, since it uses less digits than its factorization.

2406048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2406048 is about 1551.1440938868. The cubic root of 2406048 is about 133.9989604137.

The spelling of 2406048 in words is "two million, four hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 353 426 568 706 852 1059 1136 1412 1704 2118 2272 2824 3408 4236 5648 6816 8472 11296 16944 25063 33888 50126 75189 100252 150378 200504 300756 401008 601512 802016 1203024 2406048