[go: up one dir, main page]

Search a number
-
+
58912200 = 233252231423
BaseRepresentation
bin1110000010111…
…0110111001000
311002212001100100
43200232313020
5110040142300
65502405400
71313513454
oct340566710
9132761310
1058912200
1130288676
1217890860
13c288ab9
147b77664
15528a700
hex382edc8

58912200 has 144 divisors (see below), whose sum is σ = 206593920. Its totient is φ = 15016320.

The previous prime is 58912181. The next prime is 58912201. The reversal of 58912200 is 221985.

58912200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58912201) 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 35 ways as a sum of consecutive naturals, for example, 40689 + ... + 42111.

It is an arithmetic number, because the mean of its divisors is an integer number (1434680).

Almost surely, 258912200 is an apocalyptic number.

58912200 is a gapful number since it is divisible by the number (50) 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 58912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103296960).

58912200 is an abundant number, since it is smaller than the sum of its proper divisors (147681720).

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

58912200 is a wasteful number, since it uses less digits than its factorization.

58912200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 58912200 is about 7675.4283268102. The cubic root of 58912200 is about 389.1064354990.

The spelling of 58912200 in words is "fifty-eight million, nine hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1423 1656 1725 1800 2070 2300 2760 2846 3450 4140 4269 4600 5175 5692 6900 7115 8280 8538 10350 11384 12807 13800 14230 17076 20700 21345 25614 28460 32729 34152 35575 41400 42690 51228 56920 64035 65458 71150 85380 98187 102456 106725 128070 130916 142300 163645 170760 196374 213450 256140 261832 284600 294561 320175 327290 392748 426900 490935 512280 589122 640350 654580 785496 818225 853800 981870 1178244 1280700 1309160 1472805 1636450 1963740 2356488 2454675 2561400 2945610 3272900 3927480 4909350 5891220 6545800 7364025 9818700 11782440 14728050 19637400 29456100 58912200