Search a number
-
+
92197440 = 263453557
BaseRepresentation
bin1010111111011…
…01001001000000
320102111010010000
411133231021000
5142100304230
613052040000
72166444126
oct537551100
9212433100
1092197440
1148052335
1226a63000
13161411ca
14c35d916
158162b60
hex57ed240

92197440 has 140 divisors (see below), whose sum is σ = 328054716. Its totient is φ = 24579072.

The previous prime is 92197439. The next prime is 92197447. The reversal of 92197440 is 4479129.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 70963776 = 4608^2 + 8424^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 92197395 and 92197404.

It is not an unprimeable number, because it can be changed into a prime (92197447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24142 + ... + 27698.

Almost surely, 292197440 is an apocalyptic number.

92197440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164027358).

92197440 is an abundant number, since it is smaller than the sum of its proper divisors (235857276).

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

92197440 is a wasteful number, since it uses less digits than its factorization.

92197440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 92197440 is about 9601.9498019933. The cubic root of 92197440 is about 451.7584529236.

The spelling of 92197440 in words is "ninety-two million, one hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 3557 4320 5184 6480 7114 8640 10671 12960 14228 17785 21342 25920 28456 32013 35570 42684 53355 56912 64026 71140 85368 96039 106710 113824 128052 142280 160065 170736 192078 213420 227648 256104 284560 288117 320130 341472 384156 426840 480195 512208 569120 576234 640260 682944 768312 853680 960390 1024416 1138240 1152468 1280520 1440585 1536624 1707360 1920780 2048832 2304936 2561040 2881170 3073248 3414720 3841560 4609872 5122080 5762340 6146496 7683120 9219744 10244160 11524680 15366240 18439488 23049360 30732480 46098720 92197440