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80258048 = 210136029
BaseRepresentation
bin1001100100010…
…10010000000000
312121000112100022
410302022100000
5131021224143
611544113012
71663116323
oct462122000
9177015308
1080258048
1141338072
1222a65768
1313820990
14a9327ba
1570a5268
hex4c8a400

80258048 has 44 divisors (see below), whose sum is σ = 172807740. Its totient is φ = 37036032.

The previous prime is 80258023. The next prime is 80258053. The reversal of 80258048 is 84085208.

It can be written as a sum of positive squares in 2 ways, for example, as 45589504 + 34668544 = 6752^2 + 5888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80257999 and 80258017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10298 + ... + 16326.

Almost surely, 280258048 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 80258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86403870).

80258048 is an abundant number, since it is smaller than the sum of its proper divisors (92549692).

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

80258048 is a wasteful number, since it uses less digits than its factorization.

80258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 80258048 is about 8958.6856178794. The cubic root of 80258048 is about 431.3497304038.

The spelling of 80258048 in words is "eighty million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6029 6656 12058 13312 24116 48232 78377 96464 156754 192928 313508 385856 627016 771712 1254032 1543424 2508064 3086848 5016128 6173696 10032256 20064512 40129024 80258048