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49245696 = 293210687
BaseRepresentation
bin1011101111011…
…0111000000000
310102122221101200
42323312320000
5100101330241
64515301200
71135403313
oct273667000
9112587350
1049245696
1125886025
12145aa800
13a282c86
14677c97a
1544cb4b6
hex2ef6e00

49245696 has 60 divisors (see below), whose sum is σ = 142139712. Its totient is φ = 16413696.

The previous prime is 49245689. The next prime is 49245709. The reversal of 49245696 is 69654294.

49245696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 736 + ... + 9951.

Almost surely, 249245696 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 49245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71069856).

49245696 is an abundant number, since it is smaller than the sum of its proper divisors (92894016).

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

49245696 is a wasteful number, since it uses less digits than its factorization.

49245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10692 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 49245696 is about 7017.5277698061. The cubic root of 49245696 is about 366.5411684375.

The spelling of 49245696 in words is "forty-nine million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 10687 21374 32061 42748 64122 85496 96183 128244 170992 192366 256488 341984 384732 512976 683968 769464 1025952 1367936 1538928 2051904 2735872 3077856 4103808 5471744 6155712 8207616 12311424 16415232 24622848 49245696