Search a number
-
+
738142125 = 35372172139
BaseRepresentation
bin101011111111110…
…010011110101101
31220102221111122020
4223333302132231
53002431022000
6201124540353
724202050600
oct5377623655
91812844566
10738142125
11349731116
121872516b9
13b9c053b6
1470066337
1544c08ba0
hex2bff27ad

738142125 has 144 divisors (see below), whose sum is σ = 1528712640. Its totient is φ = 315302400.

The previous prime is 738142123. The next prime is 738142127. The reversal of 738142125 is 521241837.

738142125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (738142123) and next prime (738142127).

It is not a de Polignac number, because 738142125 - 21 = 738142123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738142123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5310306 + ... + 5310444.

It is an arithmetic number, because the mean of its divisors is an integer number (10616060).

Almost surely, 2738142125 is an apocalyptic number.

738142125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

738142125 is an abundant number, since it is smaller than the sum of its proper divisors (790570515).

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

738142125 is a wasteful number, since it uses less digits than its factorization.

738142125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 738142125 is about 27168.7711352575. The cubic root of 738142125 is about 903.7465732592.

The spelling of 738142125 in words is "seven hundred thirty-eight million, one hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 125 139 147 175 245 255 289 357 375 417 425 525 595 695 735 833 867 875 973 1225 1275 1445 1785 2023 2085 2125 2363 2499 2625 2919 2975 3475 3675 4165 4335 4865 6069 6125 6375 6811 7089 7225 8925 10115 10425 11815 12495 14161 14595 14875 16541 17375 18375 20433 20825 21675 24325 30345 34055 35445 36125 40171 42483 44625 49623 50575 52125 59075 62475 70805 72975 82705 102165 104125 108375 115787 120513 121625 151725 170275 177225 200855 212415 248115 252875 281197 295375 312375 347361 354025 364875 413525 510825 578935 602565 758625 843591 851375 886125 1004275 1062075 1240575 1405985 1736805 1770125 1968379 2067625 2554125 2894675 3012825 4217955 5021375 5310375 5905137 6202875 7029925 8684025 9841895 14473375 15064125 21089775 29525685 35149625 43420125 49209475 105448875 147628425 246047375 738142125