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92945268 = 223213215277
BaseRepresentation
bin1011000101000…
…11101101110100
320110220002221100
411202203231310
5142243222033
613120050100
72206010313
oct542435564
9213802840
1092945268
1148513179
1227163930
1316343700
14c4b627a
15825e513
hex58a3b74

92945268 has 54 divisors (see below), whose sum is σ = 254424534. Its totient is φ = 28596672.

The previous prime is 92945267. The next prime is 92945287. The reversal of 92945268 is 86254929.

It can be written as a sum of positive squares in 3 ways, for example, as 5560164 + 87385104 = 2358^2 + 9348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92945263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1555 + ... + 13722.

Almost surely, 292945268 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 92945268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127212267).

92945268 is an abundant number, since it is smaller than the sum of its proper divisors (161479266).

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

92945268 is a wasteful number, since it uses less digits than its factorization.

92945268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15313 (or 15295 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 92945268 is about 9640.8126213510. The cubic root of 92945268 is about 452.9765933844.

The spelling of 92945268 in words is "ninety-two million, nine hundred forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 15277 30554 45831 61108 91662 137493 183324 198601 274986 397202 549972 595803 794404 1191606 1787409 2383212 2581813 3574818 5163626 7149636 7745439 10327252 15490878 23236317 30981756 46472634 92945268