Search a number
-
+
93076992 = 29336733
BaseRepresentation
bin1011000110000…
…11111000000000
320111010210122000
411203003320000
5142311430432
613122544000
72210066331
oct543037000
9214123560
1093076992
11485a3138
1227208000
131638b658
14c50c288
15828857c
hex58c3e00

93076992 has 80 divisors (see below), whose sum is σ = 275555280. Its totient is φ = 31021056.

The previous prime is 93076969. The next prime is 93076993. The reversal of 93076992 is 29967039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93076993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10458 + ... + 17190.

It is an arithmetic number, because the mean of its divisors is an integer number (3444441).

Almost surely, 293076992 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 93076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137777640).

93076992 is an abundant number, since it is smaller than the sum of its proper divisors (182478288).

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

93076992 is an equidigital number, since it uses as much as digits as its factorization.

93076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 93076992 is about 9647.6417843948. The cubic root of 93076992 is about 453.1904817107.

The spelling of 93076992 in words is "ninety-three million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6733 6912 13466 13824 20199 26932 40398 53864 60597 80796 107728 121194 161592 181791 215456 242388 323184 363582 430912 484776 646368 727164 861824 969552 1292736 1454328 1723648 1939104 2585472 2908656 3447296 3878208 5170944 5817312 7756416 10341888 11634624 15512832 23269248 31025664 46538496 93076992