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80260628 = 227461137
BaseRepresentation
bin1001100100010…
…10111000010100
312121000122212212
410302022320110
5131021320003
611544132552
71663130000
oct462127024
9177018785
1080260628
1141339aa8
1222a67158
1313821bc6
14a933700
1570a5dd8
hex4c8ae14

80260628 has 60 divisors (see below), whose sum is σ = 167757492. Its totient is φ = 33586560.

The previous prime is 80260627. The next prime is 80260633. The reversal of 80260628 is 82606208.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20322064 + 59938564 = 4508^2 + 7742^2 .

It is a super-3 number, since 3×802606283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80260594 and 80260603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80260627) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 585776 + ... + 585912.

Almost surely, 280260628 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 80260628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83878746).

80260628 is an abundant number, since it is smaller than the sum of its proper divisors (87496864).

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

80260628 is a wasteful number, since it uses less digits than its factorization.

80260628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 80260628 is about 8958.8296110597. The cubic root of 80260628 is about 431.3543524549.

The spelling of 80260628 in words is "eighty million, two hundred sixty thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 61 98 122 137 196 244 274 343 427 548 686 854 959 1372 1708 1918 2401 2989 3836 4802 5978 6713 8357 9604 11956 13426 16714 20923 26852 33428 41846 46991 58499 83692 93982 116998 146461 187964 233996 292922 328937 409493 585844 657874 818986 1315748 1637972 2866451 5732902 11465804 20065157 40130314 80260628