Search a number
-
+
39398208 = 2631571307
BaseRepresentation
bin1001011001001…
…0101101000000
32202010122011220
42112102231000
540041220313
63524235040
7655610403
oct226225500
982118156
1039398208
112026a503
121123ba80
138215965
145337d3a
1536d3823
hex2592b40

39398208 has 56 divisors (see below), whose sum is σ = 104985312. Its totient is φ = 13039104.

The previous prime is 39398201. The next prime is 39398213. The reversal of 39398208 is 80289393.

It is a super-2 number, since 2×393982082 = 3104437587222528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39398208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39398201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29491 + ... + 30797.

Almost surely, 239398208 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 39398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52492656).

39398208 is an abundant number, since it is smaller than the sum of its proper divisors (65587104).

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

39398208 is a wasteful number, since it uses less digits than its factorization.

39398208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 39398208 is about 6276.7991842977. The cubic root of 39398208 is about 340.2714326148.

The spelling of 39398208 in words is "thirty-nine million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1307 1884 2512 2614 3768 3921 5024 5228 7536 7842 10048 10456 15072 15684 20912 30144 31368 41824 62736 83648 125472 205199 250944 410398 615597 820796 1231194 1641592 2462388 3283184 4924776 6566368 9849552 13132736 19699104 39398208