Search a number
-
+
49484880 = 2432568729
BaseRepresentation
bin1011110011000…
…1010001010000
310110010002111100
42330301101100
5100132004010
64524344400
71140420534
oct274612120
9113102440
1049484880
1125a297a5
12146a5100
13a337ac3
146801bc4
1545272c0
hex2f31450

49484880 has 60 divisors (see below), whose sum is σ = 166189140. Its totient is φ = 13195776.

The previous prime is 49484879. The next prime is 49484887. The reversal of 49484880 is 8848494.

49484880 is a `hidden beast` number, since 494 + 84 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 25160256 = 4932^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×494848802 = 4897506697228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49484887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33645 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (2769819).

Almost surely, 249484880 is an apocalyptic number.

49484880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49484880 is an abundant number, since it is smaller than the sum of its proper divisors (116704260).

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

49484880 is a wasteful number, since it uses less digits than its factorization.

49484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68748 (or 68739 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 49484880 is about 7034.5490260570. The cubic root of 49484880 is about 367.1336346094.

The spelling of 49484880 in words is "forty-nine million, four hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 68729 137458 206187 274916 343645 412374 549832 618561 687290 824748 1030935 1099664 1237122 1374580 1649496 2061870 2474244 2749160 3092805 3298992 4123740 4948488 5498320 6185610 8247480 9896976 12371220 16494960 24742440 49484880