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2025000864 = 25332980819
BaseRepresentation
bin111100010110011…
…0000111110100000
312020010101200222000
41320230300332200
513121400011424
6532534444000
7101116136415
oct17054607640
95203350860
102025000864
1194a073137
12486203600
132636bba83
14152d2610c
15bcba03c9
hex78b30fa0

2025000864 has 96 divisors (see below), whose sum is σ = 6109992000. Its totient is φ = 651716352.

The previous prime is 2025000853. The next prime is 2025000871. The reversal of 2025000864 is 4680005202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15354 + ... + 65465.

It is an arithmetic number, because the mean of its divisors is an integer number (63645750).

Almost surely, 22025000864 is an apocalyptic number.

2025000864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2025000864 is an abundant number, since it is smaller than the sum of its proper divisors (4084991136).

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

2025000864 is a wasteful number, since it uses less digits than its factorization.

2025000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80867 (or 80853 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2025000864 is about 45000.0095999990. The cubic root of 2025000864 is about 1265.1491778849.

The spelling of 2025000864 in words is "two billion, twenty-five million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 80819 161638 242457 323276 484914 646552 727371 969828 1293104 1454742 1939656 2182113 2343751 2586208 2909484 3879312 4364226 4687502 5818968 7031253 7758624 8728452 9375004 11637936 14062506 17456904 18750008 21093759 23275872 28125012 34913808 37500016 42187518 56250024 63281277 69827616 75000032 84375036 112500048 126562554 168750072 225000096 253125108 337500144 506250216 675000288 1012500432 2025000864