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49408772 = 22741193223
BaseRepresentation
bin1011110001111…
…0101100000100
310102222020002112
42330132230010
5100122040042
64523000152
71136652620
oct274365404
9112866075
1049408772
11259875a6
1214669058
13a30c27a
1467c2180
15450e982
hex2f1eb04

49408772 has 48 divisors (see below), whose sum is σ = 102208512. Its totient is φ = 20459520.

The previous prime is 49408753. The next prime is 49408781. The reversal of 49408772 is 27780494.

49408772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 221453 + ... + 221675.

It is an arithmetic number, because the mean of its divisors is an integer number (2129344).

Almost surely, 249408772 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 49408772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51104256).

49408772 is an abundant number, since it is smaller than the sum of its proper divisors (52799740).

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

49408772 is a wasteful number, since it uses less digits than its factorization.

49408772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 49408772 is about 7029.1373581685. The cubic root of 49408772 is about 366.9453202274.

It can be divided in two parts, 49408 and 772, that multiplied together give a square (38142976 = 61762).

The spelling of 49408772 in words is "forty-nine million, four hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 82 164 193 223 287 386 446 574 772 892 1148 1351 1561 2702 3122 5404 6244 7913 9143 15826 18286 31652 36572 43039 55391 64001 86078 110782 128002 172156 221564 256004 301273 602546 1205092 1764599 3529198 7058396 12352193 24704386 49408772