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142808616 = 2333798369
BaseRepresentation
bin10001000001100…
…01011000101000
3100221201102121000
420200301120220
5243024333431
622100515000
73352565436
oct1040613050
9327642530
10142808616
1173680255
123b9aba60
1323781852
1414d75d56
15c80d9e6
hex8831628

142808616 has 64 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 46994688.

The previous prime is 142808597. The next prime is 142808623. The reversal of 142808616 is 616808241.

142808616 is a `hidden beast` number, since 14 + 28 + 0 + 8 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12880 + ... + 21248.

It is an arithmetic number, because the mean of its divisors is an integer number (6277500).

Almost surely, 2142808616 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 142808616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

142808616 is an abundant number, since it is smaller than the sum of its proper divisors (258951384).

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

142808616 is a wasteful number, since it uses less digits than its factorization.

142808616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142808616 is about 11950.2558968417. The cubic root of 142808616 is about 522.6987603361.

The spelling of 142808616 in words is "one hundred forty-two million, eight hundred eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 8369 8532 16738 17064 25107 33476 50214 66952 75321 100428 150642 200856 225963 301284 451926 602568 661151 903852 1322302 1807704 1983453 2644604 3966906 5289208 5950359 7933812 11900718 15867624 17851077 23801436 35702154 47602872 71404308 142808616