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142904544 = 2533121549
BaseRepresentation
bin10001000010010…
…00110011100000
3100221220022011220
420201020303200
5243040421134
622102535040
73353445216
oct1041106340
9327808156
10142904544
1173736332
123ba37480
13237b6403
1414d9ccb6
15c82c149
hex8848ce0

142904544 has 72 divisors (see below), whose sum is σ = 387865800. Its totient is φ = 46068480.

The previous prime is 142904539. The next prime is 142904561. The reversal of 142904544 is 445409241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91482 + ... + 93030.

It is an arithmetic number, because the mean of its divisors is an integer number (5387025).

Almost surely, 2142904544 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 142904544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193932900).

142904544 is an abundant number, since it is smaller than the sum of its proper divisors (244961256).

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

142904544 is a wasteful number, since it uses less digits than its factorization.

142904544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 142904544 is about 11954.2688609551. The cubic root of 142904544 is about 522.8157706053.

The spelling of 142904544 in words is "one hundred forty-two million, nine hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 961 992 1488 1549 1922 2883 2976 3098 3844 4647 5766 6196 7688 9294 11532 12392 15376 18588 23064 24784 30752 37176 46128 48019 49568 74352 92256 96038 144057 148704 192076 288114 384152 576228 768304 1152456 1488589 1536608 2304912 2977178 4465767 4609824 5954356 8931534 11908712 17863068 23817424 35726136 47634848 71452272 142904544