Search a number
-
+
80748200 = 23521322389
BaseRepresentation
bin1001101000000…
…01111010101000
312121221102201002
410310001322220
5131132420300
612002414132
72000230331
oct464017250
9177842632
1080748200
1141642355
1223061348
1313962b00
14aa1d288
1571505d5
hex4d01ea8

80748200 has 72 divisors (see below), whose sum is σ = 203377050. Its totient is φ = 29802240.

The previous prime is 80748179. The next prime is 80748257. The reversal of 80748200 is 284708.

It can be written as a sum of positive squares in 9 ways, for example, as 6340324 + 74407876 = 2518^2 + 8626^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32606 + ... + 34994.

Almost surely, 280748200 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 80748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101688525).

80748200 is an abundant number, since it is smaller than the sum of its proper divisors (122628850).

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

80748200 is a wasteful number, since it uses less digits than its factorization.

80748200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 80748200 is about 8986.0002225684. Note that the first 3 decimals coincide. The cubic root of 80748200 is about 432.2260619528.

The spelling of 80748200 in words is "eighty million, seven hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2389 2600 3380 4225 4778 6760 8450 9556 11945 16900 19112 23890 31057 33800 47780 59725 62114 95560 119450 124228 155285 238900 248456 310570 403741 477800 621140 776425 807482 1242280 1552850 1614964 2018705 3105700 3229928 4037410 6211400 8074820 10093525 16149640 20187050 40374100 80748200