Search a number
-
+
49710420 = 22325277997
BaseRepresentation
bin1011110110100…
…0010101010100
310110112112212200
42331220111110
5100211213140
64533244500
71142350224
oct275502524
9113475780
1049710420
11260731a1
1214793730
13a3b6666
146860084
15456e030
hex2f68554

49710420 has 72 divisors (see below), whose sum is σ = 151484424. Its totient is φ = 13195008.

The previous prime is 49710413. The next prime is 49710457. The reversal of 49710420 is 2401794.

It is a happy number.

49710420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 44036496 = 2382^2 + 6636^2 .

It is a super-2 number, since 2×497104202 = 4942251713152800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 49362 + ... + 50358.

Almost surely, 249710420 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 49710420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75742212).

49710420 is an abundant number, since it is smaller than the sum of its proper divisors (101774004).

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

49710420 is a wasteful number, since it uses less digits than its factorization.

49710420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 49710420 is about 7050.5616797529. The cubic root of 49710420 is about 367.6905578448.

The spelling of 49710420 in words is "forty-nine million, seven hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 997 1108 1385 1662 1994 2493 2770 2991 3324 3988 4155 4985 4986 5540 5982 8310 8973 9970 9972 11964 12465 14955 16620 17946 19940 24930 29910 35892 44865 49860 59820 89730 179460 276169 552338 828507 1104676 1380845 1657014 2485521 2761690 3314028 4142535 4971042 5523380 8285070 9942084 12427605 16570140 24855210 49710420