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4145376 = 253291489
BaseRepresentation
bin1111110100000011100000
321210121101110
433310003200
52030123001
6224503320
750143434
oct17640340
97717343
104145376
112381534
12147ab40
13b21ab1
1479c9c4
1556d3d6
hex3f40e0

4145376 has 48 divisors (see below), whose sum is σ = 11264400. Its totient is φ = 1333248.

The previous prime is 4145371. The next prime is 4145389. The reversal of 4145376 is 6735414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145371) 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, 2040 + ... + 3528.

It is an arithmetic number, because the mean of its divisors is an integer number (234675).

Almost surely, 24145376 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 4145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632200).

4145376 is an abundant number, since it is smaller than the sum of its proper divisors (7119024).

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

4145376 is a wasteful number, since it uses less digits than its factorization.

4145376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 4145376 is about 2036.0196462706. The cubic root of 4145376 is about 160.6403504434.

The spelling of 4145376 in words is "four million, one hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 1489 2784 2978 4467 5956 8934 11912 17868 23824 35736 43181 47648 71472 86362 129543 142944 172724 259086 345448 518172 690896 1036344 1381792 2072688 4145376