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2040000032 = 25737475237
BaseRepresentation
bin111100110010111…
…1110111000100000
312021011121201221202
41321211332320200
513134220000112
6534232140332
7101360466650
oct17145767040
95234551852
102040000032
11957588244
1248b2376a8
13266840c15
14154d0c360
15be1646c2
hex7997ee20

2040000032 has 96 divisors (see below), whose sum is σ = 4815272448. Its totient is φ = 832398336.

The previous prime is 2040000031. The next prime is 2040000049. The reversal of 2040000032 is 2300000402.

It is a junction number, because it is equal to n+sod(n) for n = 2039999968 and 2040000022.

It is not an unprimeable number, because it can be changed into a prime (2040000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386918 + ... + 392154.

It is an arithmetic number, because the mean of its divisors is an integer number (50159088).

Almost surely, 22040000032 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 2040000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407636224).

2040000032 is an abundant number, since it is smaller than the sum of its proper divisors (2775272416).

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

2040000032 is a wasteful number, since it uses less digits than its factorization.

2040000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2040000032 is about 45166.3595167908. The cubic root of 2040000032 is about 1268.2651477085.

Adding to 2040000032 its reverse (2300000402), we get a palindrome (4340000434).

The spelling of 2040000032 in words is "two billion, forty million, thirty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 7 8 14 16 28 32 37 47 56 74 94 112 148 188 224 259 296 329 376 518 592 658 752 1036 1184 1316 1504 1739 2072 2632 3478 4144 5237 5264 6956 8288 10474 10528 12173 13912 20948 24346 27824 36659 41896 48692 55648 73318 83792 97384 146636 167584 193769 194768 246139 293272 387538 389536 492278 586544 775076 984556 1173088 1356383 1550152 1722973 1969112 2712766 3100304 3445946 3938224 5425532 6200608 6891892 7876448 9107143 10851064 13783784 18214286 21702128 27567568 36428572 43404256 55135136 63750001 72857144 127500002 145714288 255000004 291428576 510000008 1020000016 2040000032