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2925206336 = 261329412957
BaseRepresentation
bin1010111001011011…
…0001101101000000
321112212021212201102
42232112301231000
521442323100321
61202133153532
7132326562233
oct25626615500
97485255642
102925206336
1112712258a8
1269778b8a8
13378057b30
141da6d741a
15121c1cc0b
hexae5b1b40

2925206336 has 112 divisors (see below), whose sum is σ = 6626748240. Its totient is φ = 1271316480.

The previous prime is 2925206299. The next prime is 2925206353. The reversal of 2925206336 is 6336025292.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1029126400 + 1896079936 = 32080^2 + 43544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2925206336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987770 + ... + 990726.

It is an arithmetic number, because the mean of its divisors is an integer number (59167395).

Almost surely, 22925206336 is an apocalyptic number.

2925206336 is a gapful number since it is divisible by the number (26) 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 2925206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313374120).

2925206336 is an abundant number, since it is smaller than the sum of its proper divisors (3701541904).

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

2925206336 is a wasteful number, since it uses less digits than its factorization.

2925206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 2925206336 is about 54085.1766753147. The cubic root of 2925206336 is about 1430.1628803661.

The spelling of 2925206336 in words is "two billion, nine hundred twenty-five million, two hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 29 32 41 52 58 64 82 104 116 164 208 232 328 377 416 464 533 656 754 832 928 1066 1189 1312 1508 1856 2132 2378 2624 2957 3016 4264 4756 5914 6032 8528 9512 11828 12064 15457 17056 19024 23656 24128 30914 34112 38048 38441 47312 61828 76096 76882 85753 94624 121237 123656 153764 171506 189248 242474 247312 307528 343012 484948 494624 615056 686024 969896 989248 1114789 1230112 1372048 1576081 1939792 2229578 2460224 2744096 3152162 3515873 3879584 4459156 5488192 6304324 7031746 7759168 8918312 12608648 14063492 17836624 25217296 28126984 35673248 45706349 50434592 56253968 71346496 91412698 100869184 112507936 182825396 225015872 365650792 731301584 1462603168 2925206336