Search a number
-
+
49968352 = 257376029
BaseRepresentation
bin1011111010011…
…1010011100000
310111000122200201
42332213103200
5100242441402
64542554544
71144503220
oct276472340
9114018621
1049968352
1126229a65
1214898a54
13a476b95
1468ca080
1545c0687
hex2fa74e0

49968352 has 48 divisors (see below), whose sum is σ = 115486560. Its totient is φ = 20832768.

The previous prime is 49968341. The next prime is 49968353. The reversal of 49968352 is 25386994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49968353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5274 + ... + 11302.

It is an arithmetic number, because the mean of its divisors is an integer number (2405970).

Almost surely, 249968352 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 49968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57743280).

49968352 is an abundant number, since it is smaller than the sum of its proper divisors (65518208).

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

49968352 is a wasteful number, since it uses less digits than its factorization.

49968352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6075 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 49968352 is about 7068.8296060946. The cubic root of 49968352 is about 368.3254053061.

The spelling of 49968352 in words is "forty-nine million, nine hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 6029 8288 12058 24116 42203 48232 84406 96464 168812 192928 223073 337624 446146 675248 892292 1350496 1561511 1784584 3123022 3569168 6246044 7138336 12492088 24984176 49968352