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142862292 = 223419231009
BaseRepresentation
bin10001000001111…
…10011111010100
3100221211011020000
420200332133110
5243033043132
622102011300
73353211066
oct1040763724
9327734200
10142862292
1173707611
123ba16b30
13237a0101
1414d8b736
15c81e87c
hex883e7d4

142862292 has 120 divisors (see below), whose sum is σ = 410625600. Its totient is φ = 43110144.

The previous prime is 142862263. The next prime is 142862303. The reversal of 142862292 is 292268241.

142862292 is a `hidden beast` number, since 1 + 4 + 28 + 622 + 9 + 2 = 666.

142862292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141084 + ... + 142092.

It is an arithmetic number, because the mean of its divisors is an integer number (3421880).

Almost surely, 2142862292 is an apocalyptic number.

142862292 is a gapful number since it is divisible by the number (12) 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 142862292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205312800).

142862292 is an abundant number, since it is smaller than the sum of its proper divisors (267763308).

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

142862292 is a wasteful number, since it uses less digits than its factorization.

142862292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 142862292 is about 11952.5014955029. The cubic root of 142862292 is about 522.7642392619.

The spelling of 142862292 in words is "one hundred forty-two million, eight hundred sixty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 114 138 162 171 207 228 276 324 342 414 437 513 621 684 828 874 1009 1026 1242 1311 1539 1748 1863 2018 2052 2484 2622 3027 3078 3726 3933 4036 5244 6054 6156 7452 7866 9081 11799 12108 15732 18162 19171 23207 23598 27243 35397 36324 38342 46414 47196 54486 57513 69621 70794 76684 81729 92828 108972 115026 139242 141588 163458 172539 208863 230052 278484 326916 345078 417726 440933 517617 626589 690156 835452 881866 1035234 1253178 1322799 1552851 1763732 1879767 2070468 2506356 2645598 3105702 3759534 3968397 5291196 6211404 7519068 7936794 11905191 15873588 23810382 35715573 47620764 71431146 142862292