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4101376 = 2837433
BaseRepresentation
bin1111101001010100000000
321201101000211
433221110000
52022221001
6223523504
746601236
oct17512400
97641024
104101376
112351474
121459594
13b07a66
1478a956
15560351
hex3e9500

4101376 has 36 divisors (see below), whose sum is σ = 8427412. Its totient is φ = 1990656.

The previous prime is 4101373. The next prime is 4101379. The reversal of 4101376 is 6731014.

It is an interprime number because it is at equal distance from previous prime (4101373) and next prime (4101379).

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 2027776 = 1440^2 + 1424^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101371) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9256 + ... + 9688.

Almost surely, 24101376 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 4101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213706).

4101376 is an abundant number, since it is smaller than the sum of its proper divisors (4326036).

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

4101376 is an equidigital number, since it uses as much as digits as its factorization.

4101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 4101376 is about 2025.1854236094. The cubic root of 4101376 is about 160.0699693973.

It can be divided in two parts, 4 and 101376, that multiplied together give a palindrome (405504).

The spelling of 4101376 in words is "four million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 433 592 866 1184 1732 2368 3464 4736 6928 9472 13856 16021 27712 32042 55424 64084 110848 128168 256336 512672 1025344 2050688 4101376