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52427466 = 23371347227
BaseRepresentation
bin1100011111111…
…1101011001010
310122122120222000
43013333223022
5101410134331
65111411430
71204424520
oct307775312
9118576860
1052427466
1127659593
1215683b76
13ab28290
146d6a310
1549090e6
hex31ffaca

52427466 has 128 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 13473216.

The previous prime is 52427437. The next prime is 52427467. The reversal of 52427466 is 66472425.

52427466 is a `hidden beast` number, since 524 + 2 + 74 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52427466.

It is not an unprimeable number, because it can be changed into a prime (52427467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230845 + ... + 231071.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 252427466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52427466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

52427466 is an abundant number, since it is smaller than the sum of its proper divisors (94659894).

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

52427466 is a wasteful number, since it uses less digits than its factorization.

52427466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 52427466 is about 7240.6813215332. The cubic root of 52427466 is about 374.2710961156.

The spelling of 52427466 in words is "fifty-two million, four hundred twenty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 91 94 117 126 141 182 189 227 234 273 282 329 351 378 423 454 546 611 658 681 702 819 846 987 1222 1269 1362 1589 1638 1833 1974 2043 2457 2538 2951 2961 3178 3666 4086 4277 4767 4914 5499 5902 5922 6129 8554 8853 8883 9534 10669 10998 12258 12831 14301 16497 17706 17766 20657 21338 25662 26559 28602 32007 32994 38493 41314 42903 53118 61971 64014 74683 76986 79677 85806 96021 115479 123942 138697 149366 159354 185913 192042 224049 230958 277394 288063 371826 416091 448098 557739 576126 672147 832182 970879 1115478 1248273 1344294 1941758 2016441 2496546 2912637 3744819 4032882 5825274 7489638 8737911 17475822 26213733 52427466