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5375376 = 243323541
BaseRepresentation
bin10100100000010110010000
3101010002122000
4110200112100
52334003001
6311114000
763455436
oct24402620
911102560
105375376
113041666
121972900
1311628c6
149dcd56
15712a86
hex520590

5375376 has 80 divisors (see below), whose sum is σ = 16129920. Its totient is φ = 1710720.

The previous prime is 5375371. The next prime is 5375389. The reversal of 5375376 is 6735735.

5375376 is a `hidden beast` number, since 537 + 53 + 76 = 666.

5375376 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5375376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5375371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9666 + ... + 10206.

It is an arithmetic number, because the mean of its divisors is an integer number (201624).

Almost surely, 25375376 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 5375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064960).

5375376 is an abundant number, since it is smaller than the sum of its proper divisors (10754544).

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

5375376 is a wasteful number, since it uses less digits than its factorization.

5375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 5375376 is about 2318.4857127013. The cubic root of 5375376 is about 175.1739875060.

The spelling of 5375376 in words is "five million, three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 541 552 621 828 1082 1104 1242 1623 1656 2164 2484 3246 3312 4328 4869 4968 6492 8656 9738 9936 12443 12984 14607 19476 24886 25968 29214 37329 38952 49772 58428 74658 77904 99544 111987 116856 149316 199088 223974 233712 298632 335961 447948 597264 671922 895896 1343844 1791792 2687688 5375376