Search a number
-
+
49552256 = 271397307
BaseRepresentation
bin1011110100000…
…1101110000000
310110020111220202
42331001232000
5100141133011
64530024332
71141121135
oct275015600
9113214822
1049552256
1125a75386
12147180a8
13a35c680
14681c58c
15453c23b
hex2f41b80

49552256 has 64 divisors (see below), whose sum is σ = 107756880. Its totient is φ = 22560768.

The previous prime is 49552219. The next prime is 49552259. The reversal of 49552256 is 65225594.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49552259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161255 + ... + 161561.

Almost surely, 249552256 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 49552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53878440).

49552256 is an abundant number, since it is smaller than the sum of its proper divisors (58204624).

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

49552256 is a wasteful number, since it uses less digits than its factorization.

49552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its digits is 108000, while the sum is 38.

The square root of 49552256 is about 7039.3363323541. The cubic root of 49552256 is about 367.3001823027.

The spelling of 49552256 in words is "forty-nine million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 307 388 416 614 776 832 1228 1261 1552 1664 2456 2522 3104 3991 4912 5044 6208 7982 9824 10088 12416 15964 19648 20176 29779 31928 39296 40352 59558 63856 80704 119116 127712 161408 238232 255424 387127 476464 510848 774254 952928 1548508 1905856 3097016 3811712 6194032 12388064 24776128 49552256