Search a number
-
+
978041916 = 223242716361
BaseRepresentation
bin111010010010111…
…011110000111100
32112011100200021200
4322102323300330
54000334320131
6241014455500
733144135105
oct7222736074
92464320250
10978041916
11462096405
12233664590
1312781c737
1493c733ac
155ace52e6
hex3a4bbc3c

978041916 has 36 divisors (see below), whose sum is σ = 2473240224. Its totient is φ = 325886400.

The previous prime is 978041863. The next prime is 978041917. The reversal of 978041916 is 619140879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978041917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150576 + ... + 156936.

Almost surely, 2978041916 is an apocalyptic number.

It is an amenable number.

978041916 is an abundant number, since it is smaller than the sum of its proper divisors (1495198308).

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

978041916 is a wasteful number, since it uses less digits than its factorization.

978041916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 978041916 is about 31273.6616979848. The cubic root of 978041916 is about 992.6264023585.

The spelling of 978041916 in words is "nine hundred seventy-eight million, forty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 4271 6361 8542 12722 12813 17084 19083 25444 25626 38166 38439 51252 57249 76332 76878 114498 153756 228996 27167831 54335662 81503493 108671324 163006986 244510479 326013972 489020958 978041916