Search a number
-
+
79130208 = 253839931
BaseRepresentation
bin1001011011101…
…10111001100000
312111220020020110
410231312321200
5130224131313
611504011320
71650411213
oct455667140
9174806213
1079130208
1140737773
1222600b40
1313517511
14a71b77a
156e30ec3
hex4b76e60

79130208 has 48 divisors (see below), whose sum is σ = 210240576. Its totient is φ = 26056320.

The previous prime is 79130159. The next prime is 79130239. The reversal of 79130208 is 80203197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3003 + ... + 12933.

It is an arithmetic number, because the mean of its divisors is an integer number (4380012).

Almost surely, 279130208 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 79130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105120288).

79130208 is an abundant number, since it is smaller than the sum of its proper divisors (131110368).

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

79130208 is a wasteful number, since it uses less digits than its factorization.

79130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 79130208 is about 8895.5161738935. The cubic root of 79130208 is about 429.3196524410.

The spelling of 79130208 in words is "seventy-nine million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 9931 19862 29793 39724 59586 79448 119172 158896 238344 317792 476688 824273 953376 1648546 2472819 3297092 4945638 6594184 9891276 13188368 19782552 26376736 39565104 79130208