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142625376 = 25321729131
BaseRepresentation
bin10001000000001…
…00101001100000
3100221101010020100
420200010221200
5243003003001
622052542400
73351203265
oct1040045140
9327333210
10142625376
1173565613
123b921a00
132371931a
1414d2926c
15c7c4586
hex8804a60

142625376 has 72 divisors (see below), whose sum is σ = 429463944. Its totient is φ = 44743680.

The previous prime is 142625341. The next prime is 142625377. The reversal of 142625376 is 673526241.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 142625376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142625377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9670 + ... + 19461.

It is an arithmetic number, because the mean of its divisors is an integer number (5964777).

Almost surely, 2142625376 is an apocalyptic number.

142625376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142625376 is an abundant number, since it is smaller than the sum of its proper divisors (286838568).

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

142625376 is a wasteful number, since it uses less digits than its factorization.

142625376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29164 (or 29153 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 142625376 is about 11942.5866544899. The cubic root of 142625376 is about 522.4751036267.

The spelling of 142625376 in words is "one hundred forty-two million, six hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 29131 58262 87393 116524 174786 233048 262179 349572 466096 495227 524358 699144 932192 990454 1048716 1398288 1485681 1980908 2097432 2796576 2971362 3961816 4194864 4457043 5942724 7923632 8389728 8914086 11885448 15847264 17828172 23770896 35656344 47541792 71312688 142625376