Search a number
-
+
49626432 = 26353191
BaseRepresentation
bin1011110101001…
…1110101000000
310110101021200000
42331103311000
5100201021212
64531400000
71141550322
oct275236500
9113337600
1049626432
1126016089
1214753000
13a38736b
14683b612
1545541dc
hex2f53d40

49626432 has 84 divisors (see below), whose sum is σ = 147559776. Its totient is φ = 16536960.

The previous prime is 49626419. The next prime is 49626449. The reversal of 49626432 is 23462694.

49626432 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 643 + 2 = 666.

49626432 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 (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 13957 + ... + 17147.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 249626432 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 49626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73779888).

49626432 is an abundant number, since it is smaller than the sum of its proper divisors (97933344).

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

49626432 is an equidigital number, since it uses as much as digits as its factorization.

49626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3196 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 49626432 is about 7044.6030406262. The cubic root of 49626432 is about 367.4833645115.

The spelling of 49626432 in words is "forty-nine million, six hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3191 3888 5184 6382 7776 9573 12764 15552 19146 25528 28719 38292 51056 57438 76584 86157 102112 114876 153168 172314 204224 229752 258471 306336 344628 459504 516942 612672 689256 775413 919008 1033884 1378512 1550826 1838016 2067768 2757024 3101652 4135536 5514048 6203304 8271072 12406608 16542144 24813216 49626432