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39390516 = 22331171467
BaseRepresentation
bin1001011001000…
…0110100110100
32202010020122000
42112100310310
540040444031
63524135300
7655546104
oct226206464
982106560
1039390516
1120264750
1211237530
1382122c9
145335204
1536d13e6
hex2590d34

39390516 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 11743200.

The previous prime is 39390499. The next prime is 39390517. The reversal of 39390516 is 61509393.

It is a super-2 number, since 2×393905162 = 3103225501492512, which contains 22 as substring.

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 (39390517) 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 31 ways as a sum of consecutive naturals, for example, 84115 + ... + 84581.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 239390516 is an apocalyptic number.

39390516 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 39390516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

39390516 is an abundant number, since it is smaller than the sum of its proper divisors (73828044).

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

39390516 is a wasteful number, since it uses less digits than its factorization.

39390516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 39390516 is about 6276.1864217055. The cubic root of 39390516 is about 340.2492866142.

It can be divided in two parts, 393 and 90516, that added together give a palindrome (90909).

The spelling of 39390516 in words is "thirty-nine million, three hundred ninety thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 198 213 284 297 396 426 467 594 639 781 852 934 1188 1278 1401 1562 1868 1917 2343 2556 2802 3124 3834 4203 4686 5137 5604 7029 7668 8406 9372 10274 12609 14058 15411 16812 20548 21087 25218 28116 30822 33157 42174 46233 50436 61644 66314 84348 92466 99471 132628 138699 184932 198942 277398 298413 364727 397884 554796 596826 729454 895239 1094181 1193652 1458908 1790478 2188362 3282543 3580956 4376724 6565086 9847629 13130172 19695258 39390516