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80102500 = 22541792
BaseRepresentation
bin1001100011001…
…00010001100100
312120201121222021
410301210101210
5131001240000
611540512524
71661600662
oct461442144
9176647867
1080102500
1141241215
12229ab744
1313797c3a
14a8d1c32
15707411a
hex4c64464

80102500 has 45 divisors (see below), whose sum is σ = 176152207. Its totient is φ = 31862000.

The previous prime is 80102489. The next prime is 80102513. The reversal of 80102500 is 520108.

It is a happy number.

The square root of 80102500 is 8950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 6280036 + 73822464 = 2506^2 + 8592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 447411 + ... + 447589.

Almost surely, 280102500 is an apocalyptic number.

80102500 is the 8950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80102500

80102500 is an abundant number, since it is smaller than the sum of its proper divisors (96049707).

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

80102500 is an equidigital number, since it uses as much as digits as its factorization.

80102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The cubic root of 80102500 is about 431.0708840982.

Multiplying 80102500 by its sum of digits (16), we get a square (1281640000 = 358002).

Adding to 80102500 its reverse (520108), we get a palindrome (80622608).

The spelling of 80102500 in words is "eighty million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 179 250 358 500 625 716 895 1250 1790 2500 3580 4475 8950 17900 22375 32041 44750 64082 89500 111875 128164 160205 223750 320410 447500 640820 801025 1602050 3204100 4005125 8010250 16020500 20025625 40051250 80102500