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76766052 = 22311718191
BaseRepresentation
bin1001001001101…
…01101101100100
312100110010020010
410210311231210
5124123003202
611341210220
71621333506
oct444655544
9170403203
1076766052
113a372520
1221860970
1312b9a3cc
14a2a3d76
156b1576c
hex4935b64

76766052 has 48 divisors (see below), whose sum is σ = 198180864. Its totient is φ = 22932000.

The previous prime is 76765967. The next prime is 76766077. The reversal of 76766052 is 25066767.

It is a self number, because there is not a number n which added to its sum of digits gives 76766052.

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 15 ways as a sum of consecutive naturals, for example, 5277 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (4128768).

Almost surely, 276766052 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 76766052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99090432).

76766052 is an abundant number, since it is smaller than the sum of its proper divisors (121414812).

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

76766052 is a wasteful number, since it uses less digits than its factorization.

76766052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 76766052 is about 8761.6238221006. The cubic root of 76766052 is about 425.0007880032. Note that the first 3 decimals are identical.

The spelling of 76766052 in words is "seventy-six million, seven hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 8191 9372 16382 24573 32764 49146 90101 98292 180202 270303 360404 540606 581561 1081212 1163122 1744683 2326244 3489366 6397171 6978732 12794342 19191513 25588684 38383026 76766052