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4148328 = 2331271361
BaseRepresentation
bin1111110100110001101000
321210202102210
433310301220
52030221303
6224525120
750155152
oct17646150
97722383
104148328
112383778
1214807a0
13b23242
1479dad2
1556e203
hex3f4c68

4148328 has 32 divisors (see below), whose sum is σ = 10460160. Its totient is φ = 1370880.

The previous prime is 4148321. The next prime is 4148341. The reversal of 4148328 is 8238414.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4148295 and 4148304.

It is not an unprimeable number, because it can be changed into a prime (4148321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2368 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (326880).

Almost surely, 24148328 is an apocalyptic number.

It is an amenable number.

4148328 is an abundant number, since it is smaller than the sum of its proper divisors (6311832).

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

4148328 is a wasteful number, since it uses less digits than its factorization.

4148328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4148328 is about 2036.7444611438. The cubic root of 4148328 is about 160.6784730644.

The spelling of 4148328 in words is "four million, one hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 762 1016 1361 1524 2722 3048 4083 5444 8166 10888 16332 32664 172847 345694 518541 691388 1037082 1382776 2074164 4148328