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5177424 = 243719811
BaseRepresentation
bin10011110000000001010000
3100202001002110
4103300001100
52311134144
6302545320
762002350
oct23600120
910661073
105177424
112a1696a
121898240
1310c3785
1498ab60
156c40b9
hex4f0050

5177424 has 80 divisors (see below), whose sum is σ = 16110080. Its totient is φ = 1399680.

The previous prime is 5177413. The next prime is 5177441. The reversal of 5177424 is 4247715.

It is a junction number, because it is equal to n+sod(n) for n = 5177391 and 5177400.

It is a congruent number.

It is an unprimeable number.

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, 5979 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (201376).

Almost surely, 25177424 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 5177424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055040).

5177424 is an abundant number, since it is smaller than the sum of its proper divisors (10932656).

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

5177424 is a wasteful number, since it uses less digits than its factorization.

5177424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 5177424 is about 2275.3953502633. The cubic root of 5177424 is about 172.9967366598.

The spelling of 5177424 in words is "five million, one hundred seventy-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 811 912 1064 1596 1622 2128 2433 3192 3244 4866 5677 6384 6488 9732 11354 12976 15409 17031 19464 22708 30818 34062 38928 45416 46227 61636 68124 90832 92454 107863 123272 136248 184908 215726 246544 272496 323589 369816 431452 647178 739632 862904 1294356 1725808 2588712 5177424