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2500000080 = 243512782021
BaseRepresentation
bin1001010100000010…
…1111100101010000
320110020012011101120
42111000233211100
520110000000310
61052023402240
7115644435654
oct22500574520
96406164346
102500000080
111073204076
125992b3380
1330ac2c4b6
1419a050a64
15e972ab70
hex9502f950

2500000080 has 80 divisors (see below), whose sum is σ = 7811119104. Its totient is φ = 661409280.

The previous prime is 2500000057. The next prime is 2500000103. The reversal of 2500000080 is 800000052.

It is an interprime number because it is at equal distance from previous prime (2500000057) and next prime (2500000103).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10531 + ... + 71490.

Almost surely, 22500000080 is an apocalyptic number.

2500000080 is a gapful number since it is divisible by the number (20) 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 2500000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905559552).

2500000080 is an abundant number, since it is smaller than the sum of its proper divisors (5311119024).

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

2500000080 is a wasteful number, since it uses less digits than its factorization.

2500000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82164 (or 82158 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2500000080 is about 50000.0008000000. Note that the first 3 decimals coincide. The cubic root of 2500000080 is about 1357.2088227743.

Subtracting from 2500000080 its product of nonzero digits (80), we obtain a square (2500000000 = 500002).

The spelling of 2500000080 in words is "two billion, five hundred million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 82021 164042 246063 328084 410105 492126 656168 820210 984252 1230315 1312336 1640420 1968504 2460630 3280840 3937008 4921260 6561680 9842520 10416667 19685040 20833334 31250001 41666668 52083335 62500002 83333336 104166670 125000004 156250005 166666672 208333340 250000008 312500010 416666680 500000016 625000020 833333360 1250000040 2500000080