Search a number
-
+
71954048 = 273715193
BaseRepresentation
bin1000100100111…
…10111010000000
312000101122101202
410102132322000
5121410012143
611050120332
71532412365
oct422367200
9160348352
1071954048
1137686161
12201200a8
1311ba407a
1497b046c
1564b4ab8
hex449ee80

71954048 has 32 divisors (see below), whose sum is σ = 147229860. Its totient is φ = 35002368.

The previous prime is 71954041. The next prime is 71954063. The reversal of 71954048 is 84045917.

It can be written as a sum of positive squares in 2 ways, for example, as 51955264 + 19998784 = 7208^2 + 4472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (71954041) 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 3 ways as a sum of consecutive naturals, for example, 2861 + ... + 12332.

Almost surely, 271954048 is an apocalyptic number.

It is an amenable number.

71954048 is an abundant number, since it is smaller than the sum of its proper divisors (75275812).

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

71954048 is a wasteful number, since it uses less digits than its factorization.

71954048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15232 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 71954048 is about 8482.5731944971. The cubic root of 71954048 is about 415.9282420607.

The spelling of 71954048 in words is "seventy-one million, nine hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 15193 30386 60772 121544 243088 486176 562141 972352 1124282 1944704 2248564 4497128 8994256 17988512 35977024 71954048