Search a number
-
+
39290004 = 223213372269
BaseRepresentation
bin1001010111100…
…0010010010100
32201221010202100
42111320102110
540024240004
63522042100
7654650055
oct225702224
981833670
1039290004
11201a6186
12111a9330
1381a8630
14530a72c
1536b1739
hex2578494

39290004 has 72 divisors (see below), whose sum is σ = 109895240. Its totient is φ = 11757312.

The previous prime is 39289997. The next prime is 39290011. The reversal of 39290004 is 40009293.

It is an interprime number because it is at equal distance from previous prime (39289997) and next prime (39290011).

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 38564100 = 852^2 + 6210^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39290004.

It is a congruent number.

It is an unprimeable number.

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, 16182 + ... + 18450.

Almost surely, 239290004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39290004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54947620).

39290004 is an abundant number, since it is smaller than the sum of its proper divisors (70605236).

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

39290004 is a wasteful number, since it uses less digits than its factorization.

39290004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 39290004 is about 6268.1738967581. The cubic root of 39290004 is about 339.9596376539.

Adding to 39290004 its reverse (40009293), we get a palindrome (79299297).

The spelling of 39290004 in words is "thirty-nine million, two hundred ninety thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2269 2886 4329 4538 5772 6807 8658 9076 13614 17316 20421 27228 29497 40842 58994 81684 83953 88491 117988 167906 176982 251859 265473 335812 353964 503718 530946 755577 1007436 1061892 1091389 1511154 2182778 3022308 3274167 4365556 6548334 9822501 13096668 19645002 39290004