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142008048 = 243271310837
BaseRepresentation
bin10000111011011…
…01111011110000
3100220012202102100
420131231323300
5242323224143
622031420400
73343022430
oct1035557360
9326182370
10142008048
1173183826
123b684700
1323561340
1414c082c0
15c7016d3
hex876def0

142008048 has 120 divisors (see below), whose sum is σ = 489183968. Its totient is φ = 37449216.

The previous prime is 142008047. The next prime is 142008067. The reversal of 142008048 is 840800241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142008047) 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, 7686 + ... + 18522.

Almost surely, 2142008048 is an apocalyptic number.

142008048 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 142008048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244591984).

142008048 is an abundant number, since it is smaller than the sum of its proper divisors (347175920).

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

142008048 is a wasteful number, since it uses less digits than its factorization.

142008048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 142008048 is about 11916.7129696070. The cubic root of 142008048 is about 521.7202006030.

Adding to 142008048 its reverse (840800241), we get a palindrome (982808289).

The spelling of 142008048 in words is "one hundred forty-two million, eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 10837 13104 21674 32511 43348 65022 75859 86696 97533 130044 140881 151718 173392 195066 227577 260088 281762 303436 390132 422643 455154 520176 563524 606872 682731 780264 845286 910308 986167 1127048 1213744 1267929 1365462 1560528 1690572 1820616 1972334 2254096 2535858 2730924 2958501 3381144 3641232 3944668 5071716 5461848 5917002 6762288 7889336 8875503 10143432 10923696 11834004 15778672 17751006 20286864 23668008 35502012 47336016 71004024 142008048