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142392888 = 2332111631103
BaseRepresentation
bin10000111110010…
…11111000111000
3100220221022022200
420133023320320
5242423033023
622043550200
73346214421
oct1037137070
9326838280
10142392888
1173416980
123b82b360
1323667561
1414ca8648
15c77a743
hex87cbe38

142392888 has 96 divisors (see below), whose sum is σ = 423671040. Its totient is φ = 42845760.

The previous prime is 142392883. The next prime is 142392919. The reversal of 142392888 is 888293241.

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 (142392883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128545 + ... + 129647.

It is an arithmetic number, because the mean of its divisors is an integer number (4413240).

Almost surely, 2142392888 is an apocalyptic number.

142392888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142392888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211835520).

142392888 is an abundant number, since it is smaller than the sum of its proper divisors (281278152).

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

142392888 is a wasteful number, since it uses less digits than its factorization.

142392888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1282 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 142392888 is about 11932.8491149432. The cubic root of 142392888 is about 522.1910605486.

The spelling of 142392888 in words is "one hundred forty-two million, three hundred ninety-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 163 198 264 326 396 489 652 792 978 1103 1304 1467 1793 1956 2206 2934 3309 3586 3912 4412 5379 5868 6618 7172 8824 9927 10758 11736 12133 13236 14344 16137 19854 21516 24266 26472 32274 36399 39708 43032 48532 64548 72798 79416 97064 109197 129096 145596 179789 218394 291192 359578 436788 539367 719156 873576 1078734 1438312 1618101 1977679 2157468 3236202 3955358 4314936 5933037 6472404 7910716 11866074 12944808 15821432 17799111 23732148 35598222 47464296 71196444 142392888