Search a number
-
+
77004828 = 22322393001
BaseRepresentation
bin1001001011100…
…00000000011100
312100220020202200
410211300000130
5124203123303
611350251500
71623346605
oct445600034
9170806680
1077004828
113a51595a
1221956b90
1312c51cb4
14a326dac
156b613a3
hex497001c

77004828 has 36 divisors (see below), whose sum is σ = 203116368. Its totient is φ = 24552000.

The previous prime is 77004817. The next prime is 77004857. The reversal of 77004828 is 82840077.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77004792 and 77004801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45673 + ... + 47328.

Almost surely, 277004828 is an apocalyptic number.

It is an amenable number.

77004828 is an abundant number, since it is smaller than the sum of its proper divisors (126111540).

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

77004828 is a wasteful number, since it uses less digits than its factorization.

77004828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93034 (or 93029 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 77004828 is about 8775.2394839115. The cubic root of 77004828 is about 425.4409780404.

The spelling of 77004828 in words is "seventy-seven million, four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 93001 186002 279003 372004 558006 837009 1116012 1674018 2139023 3348036 4278046 6417069 8556092 12834138 19251207 25668276 38502414 77004828