Search a number
-
+
49107312 = 2432397859
BaseRepresentation
bin1011101101010…
…1000101110000
310102101220120100
42323111011300
5100032413222
64512312400
71134256002
oct273250560
9112356510
1049107312
11257a1061
1214542700
13a234ca7
146744372
1544a04ac
hex2ed5170

49107312 has 60 divisors (see below), whose sum is σ = 137938840. Its totient is φ = 16308864.

The previous prime is 49107307. The next prime is 49107337. The reversal of 49107312 is 21370194.

49107312 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 11 ways as a sum of consecutive naturals, for example, 56739 + ... + 57597.

Almost surely, 249107312 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 49107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68969420).

49107312 is an abundant number, since it is smaller than the sum of its proper divisors (88831528).

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

49107312 is a wasteful number, since it uses less digits than its factorization.

49107312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 49107312 is about 7007.6609507025. The cubic root of 49107312 is about 366.1975105230.

The spelling of 49107312 in words is "forty-nine million, one hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 397 794 859 1191 1588 1718 2382 2577 3176 3436 3573 4764 5154 6352 6872 7146 7731 9528 10308 13744 14292 15462 19056 20616 28584 30924 41232 57168 61848 123696 341023 682046 1023069 1364092 2046138 2728184 3069207 4092276 5456368 6138414 8184552 12276828 16369104 24553656 49107312