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39196820 = 22513413677
BaseRepresentation
bin1001010110000…
…1100010010100
32201202101221002
42111201202110
540013244240
63520042432
7654111305
oct225414224
981671832
1039196820
1120142173
1211163418
1381750b0
1452c47ac
153693d15
hex2561894

39196820 has 48 divisors (see below), whose sum is σ = 90831888. Its totient is φ = 14115840.

The previous prime is 39196813. The next prime is 39196823. The reversal of 39196820 is 2869193.

It can be written as a sum of positive squares in 8 ways, for example, as 5626384 + 33570436 = 2372^2 + 5794^2 .

It is a super-2 number, since 2×391968202 = 3072781396224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39196823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8822 + ... + 12498.

It is an arithmetic number, because the mean of its divisors is an integer number (1892331).

Almost surely, 239196820 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 39196820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45415944).

39196820 is an abundant number, since it is smaller than the sum of its proper divisors (51635068).

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

39196820 is a wasteful number, since it uses less digits than its factorization.

39196820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 39196820 is about 6260.7363784143. The cubic root of 39196820 is about 339.6906644387.

The spelling of 39196820 in words is "thirty-nine million, one hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 3677 5330 7354 10660 14708 18385 36770 47801 73540 95602 150757 191204 239005 301514 478010 603028 753785 956020 1507570 1959841 3015140 3919682 7839364 9799205 19598410 39196820