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76280336 = 2411231241
BaseRepresentation
bin1001000101111…
…11001000010000
312022112102221122
410202333020100
5124011432321
611322541412
71614241436
oct442771020
9168472848
1076280336
113a070600
1221667868
1312a5a2c2
14a1b8d56
156a6b8ab
hex48bf210

76280336 has 90 divisors (see below), whose sum is σ = 171953838. Its totient is φ = 32736000.

The previous prime is 76280299. The next prime is 76280339. The reversal of 76280336 is 63308267.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 29767936 = 6820^2 + 5456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76280296 and 76280305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76280339) 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 17 ways as a sum of consecutive naturals, for example, 1860476 + ... + 1860516.

Almost surely, 276280336 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 76280336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976919).

76280336 is an abundant number, since it is smaller than the sum of its proper divisors (95673502).

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

76280336 is a wasteful number, since it uses less digits than its factorization.

76280336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 76280336 is about 8733.8614598584. The cubic root of 76280336 is about 424.1025324599.

The spelling of 76280336 in words is "seventy-six million, two hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 41 44 62 82 88 121 124 164 176 242 248 328 341 451 484 496 656 682 902 961 968 1271 1364 1804 1922 1936 2542 2728 3608 3751 3844 4961 5084 5456 7216 7502 7688 9922 10168 10571 13981 15004 15376 19844 20336 21142 27962 30008 39401 39688 42284 55924 60016 78802 79376 84568 111848 116281 153791 157604 169136 223696 232562 307582 315208 433411 465124 615164 630416 866822 930248 1230328 1733644 1860496 2460656 3467288 4767521 6934576 9535042 19070084 38140168 76280336