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76379142 = 23722391087
BaseRepresentation
bin1001000110101…
…11010000000110
312022201110111010
410203113100012
5124023113032
611325023050
71615132500
oct443272006
9168643433
1076379142
113a128864
12216b4a86
1312a93278
14a202d70
156a8accc
hex48d7406

76379142 has 48 divisors (see below), whose sum is σ = 178606080. Its totient is φ = 21711312.

The previous prime is 76379141. The next prime is 76379143. The reversal of 76379142 is 24197367.

It is an interprime number because it is at equal distance from previous prime (76379141) and next prime (76379143).

It is a self number, because there is not a number n which added to its sum of digits gives 76379142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76379141) 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 23 ways as a sum of consecutive naturals, for example, 69723 + ... + 70809.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 276379142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76379142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89303040).

76379142 is an abundant number, since it is smaller than the sum of its proper divisors (102226938).

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

76379142 is a wasteful number, since it uses less digits than its factorization.

76379142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 76379142 is about 8739.5161193283. The cubic root of 76379142 is about 424.2855669408.

The spelling of 76379142 in words is "seventy-six million, three hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 239 294 478 717 1087 1434 1673 2174 3261 3346 5019 6522 7609 10038 11711 15218 22827 23422 35133 45654 53263 70266 106526 159789 259793 319578 519586 779379 1558758 1818551 3637102 5455653 10911306 12729857 25459714 38189571 76379142