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133046046 = 232717179347
BaseRepresentation
bin1111110111000…
…01111100011110
3100021100102212100
413323201330132
5233024433141
621111345530
73203605230
oct773417436
9307312770
10133046046
1169112511
12386822a6
1321744093
1413954250
15ba310b6
hex7ee1f1e

133046046 has 96 divisors (see below), whose sum is σ = 351786240. Its totient is φ = 35474688.

The previous prime is 133046021. The next prime is 133046051. The reversal of 133046046 is 640640331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383245 + ... + 383591.

It is an arithmetic number, because the mean of its divisors is an integer number (3664440).

Almost surely, 2133046046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133046046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175893120).

133046046 is an abundant number, since it is smaller than the sum of its proper divisors (218740194).

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

133046046 is a wasteful number, since it uses less digits than its factorization.

133046046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133046046 is about 11534.5587691944. The cubic root of 133046046 is about 510.5057727634.

Adding to 133046046 its reverse (640640331), we get a palindrome (773686377).

The spelling of 133046046 in words is "one hundred thirty-three million, forty-six thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 179 238 306 347 357 358 537 694 714 1041 1071 1074 1253 1611 2082 2142 2429 2506 3043 3123 3222 3759 4858 5899 6086 6246 7287 7518 9129 11277 11798 14574 17697 18258 21301 21861 22554 27387 35394 41293 42602 43722 53091 54774 62113 63903 82586 106182 123879 124226 127806 186339 191709 247758 371637 372678 383418 434791 559017 743274 869582 1055921 1118034 1304373 2111842 2608746 3167763 3913119 6335526 7391447 7826238 9503289 14782894 19006578 22174341 44348682 66523023 133046046