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76422580 = 22513401733
BaseRepresentation
bin1001000111000…
…01110110110100
312022210200001221
410203201312310
5124031010310
611330000124
71615403233
oct443416664
9168720057
1076422580
113a158463
1221716044
1312aa9c80
14a214b1a
156a98ada
hex48e1db4

76422580 has 48 divisors (see below), whose sum is σ = 173499984. Its totient is φ = 28108800.

The previous prime is 76422557. The next prime is 76422581. The reversal of 76422580 is 8522467.

It can be written as a sum of positive squares in 8 ways, for example, as 11329956 + 65092624 = 3366^2 + 8068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76422581) by changing a digit.

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, 103894 + ... + 104626.

It is an arithmetic number, because the mean of its divisors is an integer number (3614583).

Almost surely, 276422580 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 76422580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86749992).

76422580 is an abundant number, since it is smaller than the sum of its proper divisors (97077404).

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

76422580 is a wasteful number, since it uses less digits than its factorization.

76422580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 76422580 is about 8742.0009151223. Note that the first 3 decimals coincide. The cubic root of 76422580 is about 424.3659842871.

The spelling of 76422580 in words is "seventy-six million, four hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 401 733 802 1466 1604 2005 2932 3665 4010 5213 7330 8020 9529 10426 14660 19058 20852 26065 38116 47645 52130 95290 104260 190580 293933 587866 1175732 1469665 2939330 3821129 5878660 7642258 15284516 19105645 38211290 76422580