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64542114 = 23272132433
BaseRepresentation
bin1111011000110…
…1010110100010
311111110002010200
43312031112202
5113010321424
610223210030
71412412300
oct366152642
9144402120
1064542114
113348349a
1219746916
13104aa500
148801270
1559ed8c9
hex3d8d5a2

64542114 has 108 divisors (see below), whose sum is σ = 176555106. Its totient is φ = 16982784.

The previous prime is 64542113. The next prime is 64542133. The reversal of 64542114 is 41124546.

64542114 = T315 + T316 + ... + T747.

64542114 is a `hidden beast` number, since 6 + 4 + 542 + 114 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18533025 + 46009089 = 4305^2 + 6783^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64542113) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148842 + ... + 149274.

Almost surely, 264542114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64542114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88277553).

64542114 is an abundant number, since it is smaller than the sum of its proper divisors (112012992).

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

64542114 is a wasteful number, since it uses less digits than its factorization.

64542114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 64542114 is about 8033.8106773809. The cubic root of 64542114 is about 401.1262302044.

The spelling of 64542114 in words is "sixty-four million, five hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 294 338 433 441 507 546 637 819 866 882 1014 1183 1274 1299 1521 1638 1911 2366 2598 3031 3042 3549 3822 3897 5629 5733 6062 7098 7794 8281 9093 10647 11258 11466 16562 16887 18186 21217 21294 24843 27279 33774 39403 42434 49686 50661 54558 63651 73177 74529 78806 101322 118209 127302 146354 149058 190953 219531 236418 275821 354627 381906 439062 512239 551642 658593 709254 827463 1024478 1317186 1536717 1654926 2482389 3073434 3585673 4610151 4964778 7171346 9220302 10757019 21514038 32271057 64542114