Search a number
-
+
4997376 = 2834241
BaseRepresentation
bin10011000100000100000000
3100101220010000
4103010010000
52234404001
6255040000
760322416
oct23040400
910356100
104997376
11290366a
121810000
13105c837
149412b6
1568aa86
hex4c4100

4997376 has 90 divisors (see below), whose sum is σ = 14963102. Its totient is φ = 1658880.

The previous prime is 4997353. The next prime is 4997381. The reversal of 4997376 is 6737994.

4997376 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 331776 = 2160^2 + 576^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20616 + ... + 20856.

Almost surely, 24997376 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 4997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481551).

4997376 is an abundant number, since it is smaller than the sum of its proper divisors (9965726).

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

4997376 is an equidigital number, since it uses as much as digits as its factorization.

4997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 4997376 is about 2235.4811562614. The cubic root of 4997376 is about 170.9676762541.

It can be divided in two parts, 499 and 7376, that added together give a triangular number (7875 = T125).

The spelling of 4997376 in words is "four million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 241 256 288 324 384 432 482 576 648 723 768 864 964 1152 1296 1446 1728 1928 2169 2304 2592 2892 3456 3856 4338 5184 5784 6507 6912 7712 8676 10368 11568 13014 15424 17352 19521 20736 23136 26028 30848 34704 39042 46272 52056 61696 69408 78084 92544 104112 138816 156168 185088 208224 277632 312336 416448 555264 624672 832896 1249344 1665792 2498688 4997376