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76821232 = 2417299739
BaseRepresentation
bin1001001010000…
…11001011110000
312100112220220211
410211003023300
5124131234412
611342313504
71621653415
oct445031360
9170486824
1076821232
113a3aaa24
1221888894
1312bb9567
14a2ba10c
156b26ca7
hex49432f0

76821232 has 40 divisors (see below), whose sum is σ = 163047600. Its totient is φ = 34900992.

The previous prime is 76821223. The next prime is 76821247. The reversal of 76821232 is 23212867.

It is a junction number, because it is equal to n+sod(n) for n = 76821194 and 76821203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3019 + ... + 12757.

It is an arithmetic number, because the mean of its divisors is an integer number (4076190).

Almost surely, 276821232 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 76821232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81523800).

76821232 is an abundant number, since it is smaller than the sum of its proper divisors (86226368).

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

76821232 is a wasteful number, since it uses less digits than its factorization.

76821232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9787 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 76821232 is about 8764.7722160932. The cubic root of 76821232 is about 425.1025948395.

The spelling of 76821232 in words is "seventy-six million, eight hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 9739 19478 38956 77912 155824 165563 282431 331126 564862 662252 1129724 1324504 2259448 2649008 4518896 4801327 9602654 19205308 38410616 76821232