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49036224 = 2631272011
BaseRepresentation
bin1011101100001…
…1101111000000
310102021022001110
42323003233000
5100023124344
64511003320
71133541516
oct273035700
9112238043
1049036224
1125752706
1214509540
13a20b823
1467264b6
1544893b9
hex2ec3bc0

49036224 has 56 divisors (see below), whose sum is σ = 130828288. Its totient is φ = 16208640.

The previous prime is 49036213. The next prime is 49036243. The reversal of 49036224 is 42263094.

49036224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49036191 and 49036200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23379 + ... + 25389.

Almost surely, 249036224 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 49036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65414144).

49036224 is an abundant number, since it is smaller than the sum of its proper divisors (81792064).

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

49036224 is a wasteful number, since it uses less digits than its factorization.

49036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 49036224 is about 7002.5869505491. The cubic root of 49036224 is about 366.0207220493.

The spelling of 49036224 in words is "forty-nine million, thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2011 2032 3048 4022 4064 6033 6096 8044 8128 12066 12192 16088 24132 24384 32176 48264 64352 96528 128704 193056 255397 386112 510794 766191 1021588 1532382 2043176 3064764 4086352 6129528 8172704 12259056 16345408 24518112 49036224