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39077316 = 22381489
BaseRepresentation
bin1001010100010…
…0010111000100
32201112100000000
42111010113010
540000433231
63513321300
7653103015
oct225042704
981470000
1039077316
1120070403
1211106230
138132895
14529300c
15366d6e6
hex25445c4

39077316 has 54 divisors (see below), whose sum is σ = 102641630. Its totient is φ = 13017024.

The previous prime is 39077309. The next prime is 39077317. The reversal of 39077316 is 61377093.

It can be written as a sum of positive squares in only one way, i.e., 28579716 + 10497600 = 5346^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is not an unprimeable number, because it can be changed into a prime (39077317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25500 + ... + 26988.

Almost surely, 239077316 is an apocalyptic number.

39077316 is a gapful number since it is divisible by the number (36) 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 39077316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51320815).

39077316 is an abundant number, since it is smaller than the sum of its proper divisors (63564314).

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

39077316 is an equidigital number, since it uses as much as digits as its factorization.

39077316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 39077316 is about 6251.1851676302. The cubic root of 39077316 is about 339.3450945841.

It can be divided in two parts, 39077 and 316, that added together give a palindrome (39393).

The spelling of 39077316 in words is "thirty-nine million, seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1489 2187 2916 2978 4374 4467 5956 6561 8748 8934 13122 13401 17868 26244 26802 40203 53604 80406 120609 160812 241218 361827 482436 723654 1085481 1447308 2170962 3256443 4341924 6512886 9769329 13025772 19538658 39077316