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2404128 = 25379317
BaseRepresentation
bin1001001010111100100000
311112010211210
421022330200
51103413003
6123310120
726302056
oct11127440
94463753
102404128
1113a2291
1297b340
1366237c
144681d6
15327503
hex24af20

2404128 has 48 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 788736.

The previous prime is 2404111. The next prime is 2404139. The reversal of 2404128 is 8214042.

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

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, 7426 + ... + 7742.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

22404128 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 2404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440).

2404128 is an abundant number, since it is smaller than the sum of its proper divisors (4006752).

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

2404128 is a wasteful number, since it uses less digits than its factorization.

2404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

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

The square root of 2404128 is about 1550.5250723545. The cubic root of 2404128 is about 133.9633076934.

The spelling of 2404128 in words is "two million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 317 474 632 634 948 951 1264 1268 1896 1902 2528 2536 3792 3804 5072 7584 7608 10144 15216 25043 30432 50086 75129 100172 150258 200344 300516 400688 601032 801376 1202064 2404128