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2897938032 = 2431131473767
BaseRepresentation
bin1010110010111011…
…0000011001110000
321110221222111122020
42230232300121300
521413333004112
61155320511440
7131546031633
oct25456603160
97427874566
102897938032
1112578a0810
1268a61b580
133724cb342
141d6c39c1a
1511e63348c
hexacbb0670

2897938032 has 160 divisors (see below), whose sum is σ = 8612020224. Its totient is φ = 831532800.

The previous prime is 2897938003. The next prime is 2897938033. The reversal of 2897938032 is 2308397982.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897938033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767413 + ... + 771179.

Almost surely, 22897938032 is an apocalyptic number.

2897938032 is a gapful number since it is divisible by the number (22) 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 2897938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306010112).

2897938032 is an abundant number, since it is smaller than the sum of its proper divisors (5714082192).

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

2897938032 is a wasteful number, since it uses less digits than its factorization.

2897938032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2897938032 is about 53832.4997747643. The cubic root of 2897938032 is about 1425.7050836341.

The spelling of 2897938032 in words is "two billion, eight hundred ninety-seven million, nine hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 47 48 62 66 88 93 94 124 132 141 176 186 188 248 264 282 341 372 376 496 517 528 564 682 744 752 1023 1034 1128 1364 1457 1488 1551 2046 2068 2256 2728 2914 3102 3767 4092 4136 4371 5456 5828 6204 7534 8184 8272 8742 11301 11656 12408 15068 16027 16368 17484 22602 23312 24816 30136 32054 34968 41437 45204 48081 60272 64108 69936 82874 90408 96162 116777 124311 128216 165748 177049 180816 192324 233554 248622 256432 331496 350331 354098 384648 467108 497244 531147 662992 700662 708196 769296 934216 994488 1062294 1284547 1401324 1416392 1868432 1947539 1988976 2124588 2569094 2802648 2832784 3853641 3895078 4249176 5138188 5488519 5605296 5842617 7707282 7790156 8498352 10276376 10977038 11685234 15414564 15580312 16465557 20552752 21954076 23370468 30829128 31160624 32931114 43908152 46740936 60373709 61658256 65862228 87816304 93481872 120747418 131724456 181121127 241494836 263448912 362242254 482989672 724484508 965979344 1448969016 2897938032