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76312280 = 23511215767
BaseRepresentation
bin1001000110001…
…10111011011000
312022121001202202
410203012323120
5124013443110
611323345332
71614433532
oct443067330
9168531682
1076312280
113a092600
1221682248
1312a6b9c5
14a1c6852
156a760a5
hex48c6ed8

76312280 has 48 divisors (see below), whose sum is σ = 188742960. Its totient is φ = 27748160.

The previous prime is 76312279. The next prime is 76312307. The reversal of 76312280 is 8221367.

It is a happy number.

It is a super-3 number, since 3×763122803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3044 + ... + 12723.

It is an arithmetic number, because the mean of its divisors is an integer number (3932145).

Almost surely, 276312280 is an apocalyptic number.

It is an amenable number.

76312280 is an abundant number, since it is smaller than the sum of its proper divisors (112430680).

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

76312280 is a wasteful number, since it uses less digits than its factorization.

76312280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76312280 is about 8735.6900128152. The cubic root of 76312280 is about 424.1617248255.

The spelling of 76312280 in words is "seventy-six million, three hundred twelve thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 15767 31534 63068 78835 126136 157670 173437 315340 346874 630680 693748 867185 1387496 1734370 1907807 3468740 3815614 6937480 7631228 9539035 15262456 19078070 38156140 76312280