Search a number
-
+
49193320 = 23511234861
BaseRepresentation
bin1011101110101…
…0000101101000
310102120021112211
42323222011220
5100043141240
64514214504
71135064521
oct273520550
9112507484
1049193320
112584a740
1214584434
13a265197
146767848
1544babea
hex2eea168

49193320 has 64 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 17107200.

The previous prime is 49193303. The next prime is 49193321. The reversal of 49193320 is 2339194.

49193320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49193321) by changing a digit.

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, 7690 + ... + 12550.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 249193320 is an apocalyptic number.

49193320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49193320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011520).

49193320 is an abundant number, since it is smaller than the sum of its proper divisors (76829720).

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

49193320 is a wasteful number, since it uses less digits than its factorization.

49193320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 49193320 is about 7013.7949784692. The cubic root of 49193320 is about 366.4111755520.

The spelling of 49193320 in words is "forty-nine million, one hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4861 5060 9722 10120 19444 24305 38888 48610 53471 97220 106942 111803 194440 213884 223606 267355 427768 447212 534710 559015 894424 1069420 1118030 1229833 2138840 2236060 2459666 4472120 4919332 6149165 9838664 12298330 24596660 49193320