Search a number
-
+
76830408 = 233210332
BaseRepresentation
bin1001001010001…
…01011011001000
312100120101111200
410211011123020
5124132033113
611342424200
71622022234
oct445053310
9170511450
1076830408
113a406906
1221892060
1312bc07a5
14a2bd5c4
156b29873
hex49456c8

76830408 has 36 divisors (see below), whose sum is σ = 208283985. Its totient is φ = 25585344.

The previous prime is 76830371. The next prime is 76830409. The reversal of 76830408 is 80403867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 24383844 = 7242^2 + 4938^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6198.

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

It is not an unprimeable number, because it can be changed into a prime (76830409) 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 8 ways as a sum of consecutive naturals, for example, 73860 + ... + 74892.

Almost surely, 276830408 is an apocalyptic number.

It is an amenable number.

76830408 is an abundant number, since it is smaller than the sum of its proper divisors (131453577).

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

76830408 is a wasteful number, since it uses less digits than its factorization.

76830408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76830408 is about 8765.2956595884. The cubic root of 76830408 is about 425.1195197877.

The spelling of 76830408 in words is "seventy-six million, eight hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 37188 74376 1067089 2134178 3201267 4268356 6402534 8536712 9603801 12805068 19207602 25610136 38415204 76830408