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49730256 = 24322811229
BaseRepresentation
bin1011110110110…
…1001011010000
310110120120002100
42331231023100
5100212332011
64533520400
71142462112
oct275551320
9113516070
1049730256
1126087094
12147a3100
13a3c26b4
1468673b2
154574d56
hex2f6d2d0

49730256 has 60 divisors (see below), whose sum is σ = 139784580. Its totient is φ = 16504320.

The previous prime is 49730249. The next prime is 49730267. The reversal of 49730256 is 65203794.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 6170256 = 6600^2 + 2484^2 .

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 49730256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39850 + ... + 41078.

It is an arithmetic number, because the mean of its divisors is an integer number (2329743).

Almost surely, 249730256 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 49730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69892290).

49730256 is an abundant number, since it is smaller than the sum of its proper divisors (90054324).

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

49730256 is a wasteful number, since it uses less digits than its factorization.

49730256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 49730256 is about 7051.9682358899. The cubic root of 49730256 is about 367.7394579883.

The spelling of 49730256 in words is "forty-nine million, seven hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1229 1686 2248 2458 2529 3372 3687 4496 4916 5058 6744 7374 9832 10116 11061 13488 14748 19664 20232 22122 29496 40464 44244 58992 88488 176976 345349 690698 1036047 1381396 2072094 2762792 3108141 4144188 5525584 6216282 8288376 12432564 16576752 24865128 49730256