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49330656 = 25321571091
BaseRepresentation
bin1011110000101…
…1100111100000
310102211020221100
42330023213200
5100112040111
64521154400
71136206104
oct274134740
9112736840
1049330656
1125933941
121462ba00
13a2b284b
1467a1904
1544e6756
hex2f0b9e0

49330656 has 72 divisors (see below), whose sum is σ = 141306984. Its totient is φ = 16323840.

The previous prime is 49330649. The next prime is 49330661. The reversal of 49330656 is 65603394.

49330656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 49330656.

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 11 ways as a sum of consecutive naturals, for example, 44671 + ... + 45761.

It is an arithmetic number, because the mean of its divisors is an integer number (1962597).

Almost surely, 249330656 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 49330656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70653492).

49330656 is an abundant number, since it is smaller than the sum of its proper divisors (91976328).

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

49330656 is a wasteful number, since it uses less digits than its factorization.

49330656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 49330656 is about 7023.5785750570. The cubic root of 49330656 is about 366.7518362299.

The spelling of 49330656 in words is "forty-nine million, three hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1091 1256 1413 1884 2182 2512 2826 3273 3768 4364 5024 5652 6546 7536 8728 9819 11304 13092 15072 17456 19638 22608 26184 34912 39276 45216 52368 78552 104736 157104 171287 314208 342574 513861 685148 1027722 1370296 1541583 2055444 2740592 3083166 4110888 5481184 6166332 8221776 12332664 16443552 24665328 49330656