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76048236 = 2232111811061
BaseRepresentation
bin1001000100001…
…10011101101100
312022002122120100
410202012131230
5123432020421
611313551100
71612253655
oct442063554
9168078510
1076048236
1139a22190
1221575490
13129a8774
14a15852c
156a22c26
hex488676c

76048236 has 72 divisors (see below), whose sum is σ = 211066128. Its totient is φ = 22896000.

The previous prime is 76048211. The next prime is 76048249. The reversal of 76048236 is 63284067.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76048236.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71146 + ... + 72206.

It is an arithmetic number, because the mean of its divisors is an integer number (2931474).

Almost surely, 276048236 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 76048236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105533064).

76048236 is an abundant number, since it is smaller than the sum of its proper divisors (135017892).

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

76048236 is a wasteful number, since it uses less digits than its factorization.

76048236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 76048236 is about 8720.5639725880. The cubic root of 76048236 is about 423.6719531516.

The spelling of 76048236 in words is "seventy-six million, forty-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1061 1086 1629 1991 2122 2172 3183 3258 3982 4244 5973 6366 6516 7964 9549 11671 11946 12732 17919 19098 23342 23892 35013 35838 38196 46684 70026 71676 105039 140052 192041 210078 384082 420156 576123 768164 1152246 1728369 2112451 2304492 3456738 4224902 6337353 6913476 8449804 12674706 19012059 25349412 38024118 76048236