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4962496 = 267111953
BaseRepresentation
bin10010111011100011000000
3100100010021011
4102323203000
52232244441
6254210304
760115630
oct22734300
910303234
104962496
11288a440
1217b3994
1310499b6
149326c0
15680581
hex4bb8c0

4962496 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1797120.

The previous prime is 4962493. The next prime is 4962527. The reversal of 4962496 is 6942694.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4962491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93606 + ... + 93658.

Almost surely, 24962496 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 4962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4962496 is an abundant number, since it is smaller than the sum of its proper divisors (8204864).

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

4962496 is a wasteful number, since it uses less digits than its factorization.

4962496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 4962496 is about 2227.6660431941. Note that the first 3 decimals coincide. The cubic root of 4962496 is about 170.5689816418.

It can be divided in two parts, 496 and 2496, that added together give a palindrome (2992).

The spelling of 4962496 in words is "four million, nine hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 53 56 64 76 77 88 106 112 133 152 154 176 209 212 224 266 304 308 352 371 418 424 448 532 583 608 616 704 742 836 848 1007 1064 1166 1216 1232 1463 1484 1672 1696 2014 2128 2332 2464 2926 2968 3344 3392 4028 4081 4256 4664 4928 5852 5936 6688 7049 8056 8162 8512 9328 11077 11704 11872 13376 14098 16112 16324 18656 22154 23408 23744 28196 32224 32648 37312 44308 46816 56392 64448 65296 77539 88616 93632 112784 130592 155078 177232 225568 261184 310156 354464 451136 620312 708928 1240624 2481248 4962496