Search a number
-
+
74763828 = 223237341
BaseRepresentation
bin1000111010011…
…00111000110100
312012200101200200
410131030320310
5123114420303
611230240500
71565324226
oct435147064
9165611620
1074763828
1139225197
1221056130
1312648c69
149d02416
15686c3a3
hex474ce34

74763828 has 72 divisors (see below), whose sum is σ = 198973320. Its totient is φ = 23656320.

The previous prime is 74763811. The next prime is 74763839. The reversal of 74763828 is 82836747.

It is a happy number.

74763828 is a `hidden beast` number, since 7 + 4 + 7 + 638 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11370384 + 63393444 = 3372^2 + 7962^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823488 + ... + 1823528.

Almost surely, 274763828 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 74763828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486660).

74763828 is an abundant number, since it is smaller than the sum of its proper divisors (124209492).

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

74763828 is a wasteful number, since it uses less digits than its factorization.

74763828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 83 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74763828 is about 8646.6078898028. The cubic root of 74763828 is about 421.2732112467.

The spelling of 74763828 in words is "seventy-four million, seven hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1369 1476 1517 2738 3034 4107 4551 5476 6068 8214 9102 12321 13653 16428 18204 24642 27306 49284 50653 54612 56129 101306 112258 151959 168387 202612 224516 303918 336774 455877 505161 607836 673548 911754 1010322 1823508 2020644 2076773 4153546 6230319 8307092 12460638 18690957 24921276 37381914 74763828