Search a number
-
+
92233728 = 21334139
BaseRepresentation
bin1010111111101…
…10000000000000
320102112221220000
411133312000000
5142102434403
613052520000
72166654666
oct537660000
9212487800
1092233728
1148077624
1226a80000
1316154892
14c36cc36
15816d7a3
hex57f6000

92233728 has 140 divisors (see below), whose sum is σ = 277528020. Its totient is φ = 30523392.

The previous prime is 92233681. The next prime is 92233751. The reversal of 92233728 is 82733229.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 92233692 and 92233701.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 663483 + ... + 663621.

It is an arithmetic number, because the mean of its divisors is an integer number (1982343).

Almost surely, 292233728 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 92233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138764010).

92233728 is an abundant number, since it is smaller than the sum of its proper divisors (185294292).

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

92233728 is an equidigital number, since it uses as much as digits as its factorization.

92233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 92233728 is about 9603.8392323070. The cubic root of 92233728 is about 451.8177143682.

The spelling of 92233728 in words is "ninety-two million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 256 278 288 324 384 417 432 512 556 576 648 768 834 864 1024 1112 1152 1251 1296 1536 1668 1728 2048 2224 2304 2502 2592 3072 3336 3456 3753 4096 4448 4608 5004 5184 6144 6672 6912 7506 8192 8896 9216 10008 10368 11259 12288 13344 13824 15012 17792 18432 20016 20736 22518 24576 26688 27648 30024 35584 36864 40032 41472 45036 53376 55296 60048 71168 73728 80064 82944 90072 106752 110592 120096 142336 160128 165888 180144 213504 221184 240192 284672 320256 331776 360288 427008 480384 569344 640512 663552 720576 854016 960768 1138688 1281024 1441152 1708032 1921536 2562048 2882304 3416064 3843072 5124096 5764608 7686144 10248192 11529216 15372288 23058432 30744576 46116864 92233728