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5357376 = 263271131
BaseRepresentation
bin10100011011111101000000
3101002011221100
4110123331000
52332414001
6310454400
763352113
oct24337500
911064840
105357376
11302a092
121964400
13115765b
149d657a
1570c586
hex51bf40

5357376 has 84 divisors (see below), whose sum is σ = 15691104. Its totient is φ = 1747200.

The previous prime is 5357371. The next prime is 5357381. The reversal of 5357376 is 6737535.

5357376 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5357371) and next prime (5357381).

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 5357376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40831 + ... + 40961.

Almost surely, 25357376 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 5357376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552).

5357376 is an abundant number, since it is smaller than the sum of its proper divisors (10333728).

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

5357376 is a wasteful number, since it uses less digits than its factorization.

5357376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

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

The square root of 5357376 is about 2314.6006134969. The cubic root of 5357376 is about 174.9782394712.

The spelling of 5357376 in words is "five million, three hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 131 142 144 192 213 262 284 288 393 426 524 568 576 639 786 852 1048 1136 1179 1278 1572 1704 2096 2272 2358 2556 3144 3408 4192 4544 4716 5112 6288 6816 8384 9301 9432 10224 12576 13632 18602 18864 20448 25152 27903 37204 37728 40896 55806 74408 75456 83709 111612 148816 167418 223224 297632 334836 446448 595264 669672 892896 1339344 1785792 2678688 5357376