Search a number
-
+
49421016 = 2334531439
BaseRepresentation
bin1011110010000…
…1101011011000
310102222211220000
42330201223120
5100122433031
64523133000
71140033411
oct274415330
9112884800
1049421016
1125995817
1214674160
13a314a08
1467c6808
1545133e6
hex2f21ad8

49421016 has 80 divisors (see below), whose sum is σ = 141134400. Its totient is φ = 16151616.

The previous prime is 49420993. The next prime is 49421027. The reversal of 49421016 is 61012494.

49421016 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 (27).

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 19 ways as a sum of consecutive naturals, for example, 33625 + ... + 35063.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 249421016 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 49421016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567200).

49421016 is an abundant number, since it is smaller than the sum of its proper divisors (91713384).

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

49421016 is a wasteful number, since it uses less digits than its factorization.

49421016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49421016 is about 7030.0082503508. The cubic root of 49421016 is about 366.9756286607.

The spelling of 49421016 in words is "forty-nine million, four hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1439 1908 2862 2878 3816 4293 4317 5724 5756 8586 8634 11448 11512 12951 17172 17268 25902 34344 34536 38853 51804 76267 77706 103608 116559 152534 155412 228801 233118 305068 310824 457602 466236 610136 686403 915204 932472 1372806 1830408 2059209 2745612 4118418 5491224 6177627 8236836 12355254 16473672 24710508 49421016