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142819976 = 23133121429
BaseRepresentation
bin10001000001101…
…00001010001000
3100221202000011202
420200310022020
5243030214401
622101043332
73352643525
oct1040641210
9327660152
10142819976
1173688842
123b9b6548
1323786a80
1414d7a14c
15c81206b
hex8834288

142819976 has 48 divisors (see below), whose sum is σ = 298197900. Its totient is φ = 63745920.

The previous prime is 142819973. The next prime is 142819997. The reversal of 142819976 is 679918241.

It can be written as a sum of positive squares in 2 ways, for example, as 115047076 + 27772900 = 10726^2 + 5270^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142819976.

It is not an unprimeable number, because it can be changed into a prime (142819973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99230 + ... + 100658.

Almost surely, 2142819976 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 142819976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149098950).

142819976 is an abundant number, since it is smaller than the sum of its proper divisors (155377924).

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

142819976 is a wasteful number, since it uses less digits than its factorization.

142819976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1475 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The square root of 142819976 is about 11950.7311910192. The cubic root of 142819976 is about 522.7126196784.

The spelling of 142819976 in words is "one hundred forty-two million, eight hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 961 1429 1612 1922 2858 3224 3844 5716 7688 11432 12493 18577 24986 37154 44299 49972 74308 88598 99944 148616 177196 354392 575887 1151774 1373269 2303548 2746538 4607096 5493076 10986152 17852497 35704994 71409988 142819976