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145437894 = 23271979769
BaseRepresentation
bin10001010101100…
…11010011000110
3101010200000021200
420222303103012
5244213003034
622233123330
73414126120
oct1052632306
9333600250
10145437894
1175106708
1240859546
1324192534
141545c210
15cb7ca99
hex8ab34c6

145437894 has 96 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 38817792.

The previous prime is 145437797. The next prime is 145437899. The reversal of 145437894 is 498734541.

145437894 is a `hidden beast` number, since 14 + 543 + 7 + 8 + 94 = 666.

It is a super-2 number, since 2×1454378942 = 42304362022310472, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145437899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188742 + ... + 189510.

It is an arithmetic number, because the mean of its divisors is an integer number (4004000).

Almost surely, 2145437894 is an apocalyptic number.

145437894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145437894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192000).

145437894 is an abundant number, since it is smaller than the sum of its proper divisors (238946106).

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

145437894 is a wasteful number, since it uses less digits than its factorization.

145437894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 879 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 145437894 is about 12059.7634305155. The cubic root of 145437894 is about 525.8871097012.

The spelling of 145437894 in words is "one hundred forty-five million, four hundred thirty-seven thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 79 114 126 133 158 171 237 266 342 399 474 553 711 769 798 1106 1197 1422 1501 1538 1659 2307 2394 3002 3318 4503 4614 4977 5383 6921 9006 9954 10507 10766 13509 13842 14611 16149 21014 27018 29222 31521 32298 43833 48447 60751 63042 87666 94563 96894 102277 121502 131499 182253 189126 204554 262998 306831 364506 425257 546759 613662 850514 920493 1093518 1154269 1275771 1840986 2308538 2551542 3462807 3827313 6925614 7654626 8079883 10388421 16159766 20776842 24239649 48479298 72718947 145437894