Search a number
-
+
38706516 = 22322346747
BaseRepresentation
bin1001001110100…
…1110101010100
32200211111100200
42103221311110
534402102031
63501340500
7646666662
oct223516524
980744320
1038706516
111a937862
1210b67730
138032b84
1451d7c32
1535e88e6
hex24e9d54

38706516 has 36 divisors (see below), whose sum is σ = 102097632. Its totient is φ = 12340944.

The previous prime is 38706511. The next prime is 38706517. The reversal of 38706516 is 61560783.

38706516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38706511) 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 11 ways as a sum of consecutive naturals, for example, 22546 + ... + 24201.

Almost surely, 238706516 is an apocalyptic number.

38706516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38706516 is an abundant number, since it is smaller than the sum of its proper divisors (63391116).

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

38706516 is a wasteful number, since it uses less digits than its factorization.

38706516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46780 (or 46775 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38706516 is about 6221.4560996603. The cubic root of 38706516 is about 338.2683465876.

The spelling of 38706516 in words is "thirty-eight million, seven hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 46747 93494 140241 186988 280482 420723 560964 841446 1075181 1682892 2150362 3225543 4300724 6451086 9676629 12902172 19353258 38706516