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49819456 = 26432421
BaseRepresentation
bin1011111000001…
…0111101000000
310110202002110001
42332002331000
5100223210311
64535445344
71143313141
oct276027500
9113662401
1049819456
1126138105
1214826854
13a42418b
14688bac8
1545914c1
hex2f82f40

49819456 has 42 divisors (see below), whose sum is σ = 101453442. Its totient is φ = 24272640.

The previous prime is 49819453. The next prime is 49819457. The reversal of 49819456 is 65491894.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 23193856 = 5160^2 + 4816^2 .

It is a super-2 number, since 2×498194562 = 4963956392271872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49819453) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 118126 + ... + 118546.

Almost surely, 249819456 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 49819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726721).

49819456 is an abundant number, since it is smaller than the sum of its proper divisors (51633986).

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

49819456 is an equidigital number, since it uses as much as digits as its factorization.

49819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 466 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 49819456 is about 7058.2898778670. The cubic root of 49819456 is about 367.9591952236.

The spelling of 49819456 in words is "forty-nine million, eight hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 421 688 842 1376 1684 1849 2752 3368 3698 6736 7396 13472 14792 18103 26944 29584 36206 59168 72412 118336 144824 289648 579296 778429 1158592 1556858 3113716 6227432 12454864 24909728 49819456