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93045316 = 2272132532
BaseRepresentation
bin1011000101111…
…00001001000100
320111002012011211
411202330021010
5142304422231
613122141204
72206605100
oct542741104
9214065154
1093045316
1148581361
12271b1804
131637a100
14c500900
15827deb1
hex58bc244

93045316 has 81 divisors (see below), whose sum is σ = 209047671. Its totient is φ = 36114624.

The previous prime is 93045283. The next prime is 93045319. The reversal of 93045316 is 61354039.

The square root of 93045316 is 9646.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 90630400 = 1554^2 + 9520^2 .

It is not an unprimeable number, because it can be changed into a prime (93045319) 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 26 ways as a sum of consecutive naturals, for example, 1755546 + ... + 1755598.

Almost surely, 293045316 is an apocalyptic number.

93045316 is the 9646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93045316

93045316 is an abundant number, since it is smaller than the sum of its proper divisors (116002355).

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

93045316 is a wasteful number, since it uses less digits than its factorization.

93045316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The cubic root of 93045316 is about 453.1390658876.

The spelling of 93045316 in words is "ninety-three million, forty-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 53 91 98 106 169 182 196 212 338 364 371 637 676 689 742 1183 1274 1378 1484 2366 2548 2597 2756 2809 4732 4823 5194 5618 8281 8957 9646 10388 11236 16562 17914 19292 19663 33124 33761 35828 36517 39326 62699 67522 73034 78652 125398 135044 137641 146068 250796 255619 275282 438893 474721 511238 550564 877786 949442 1022476 1755572 1789333 1898884 3323047 3578666 6646094 7157332 13292188 23261329 46522658 93045316