[go: up one dir, main page]

Search a number
-
+
39074868 = 22327198161
BaseRepresentation
bin1001010100001…
…1110000110100
32201112012122100
42111003300310
540000343433
63513302100
7653062620
oct225036064
981465570
1039074868
1120069588
1211104930
138131731
145292180
15366cb13
hex2543c34

39074868 has 72 divisors (see below), whose sum is σ = 118838720. Its totient is φ = 10575360.

The previous prime is 39074863. The next prime is 39074873. The reversal of 39074868 is 86847093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39074863) and next prime (39074873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39074863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 708 + ... + 8868.

Almost surely, 239074868 is an apocalyptic number.

39074868 is a gapful number since it is divisible by the number (38) 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 39074868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59419360).

39074868 is an abundant number, since it is smaller than the sum of its proper divisors (79763852).

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

39074868 is a wasteful number, since it uses less digits than its factorization.

39074868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8192 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 39074868 is about 6250.9893616931. The cubic root of 39074868 is about 339.3380083405.

The spelling of 39074868 in words is "thirty-nine million, seventy-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 8161 16322 24483 32644 48966 57127 73449 97932 114254 146898 155059 171381 228508 293796 310118 342762 465177 514143 620236 685524 930354 1028286 1085413 1395531 1860708 2056572 2170826 2791062 3256239 4341652 5582124 6512478 9768717 13024956 19537434 39074868