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142622688 = 25313114281
BaseRepresentation
bin10001000000000…
…11111111100000
3100221100222112210
420200003333200
5243002411223
622052522120
73351162405
oct1040037740
9327328483
10142622688
117356359a
123b920340
1323718030
1414d282ac
15c7c3893
hex8803fe0

142622688 has 48 divisors (see below), whose sum is σ = 403186896. Its totient is φ = 43883520.

The previous prime is 142622687. The next prime is 142622717. The reversal of 142622688 is 886226241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1426226882 = 40682462264690688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142622687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55893 + ... + 58388.

It is an arithmetic number, because the mean of its divisors is an integer number (8399727).

Almost surely, 2142622688 is an apocalyptic number.

It is an amenable number.

142622688 is an abundant number, since it is smaller than the sum of its proper divisors (260564208).

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

142622688 is a wasteful number, since it uses less digits than its factorization.

142622688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114307 (or 114299 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 142622688 is about 11942.4741155256. The cubic root of 142622688 is about 522.4718213171.

The spelling of 142622688 in words is "one hundred forty-two million, six hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 114281 228562 342843 457124 685686 914248 1371372 1485653 1828496 2742744 2971306 3656992 4456959 5485488 5942612 8913918 10970976 11885224 17827836 23770448 35655672 47540896 71311344 142622688