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142981248 = 2732316189
BaseRepresentation
bin10001000010110…
…11100010000000
3100222001012101210
420201123202000
5243100344443
622104330120
73354214644
oct1041334200
9328035353
10142981248
1173788a23
123ba73940
13238122b7
1414dbcc24
15c844c33
hex885b880

142981248 has 64 divisors (see below), whose sum is σ = 396331200. Its totient is φ = 45585408.

The previous prime is 142981243. The next prime is 142981261. The reversal of 142981248 is 842189241.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (142981243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 16926.

It is an arithmetic number, because the mean of its divisors is an integer number (6192675).

Almost surely, 2142981248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198165600).

142981248 is an abundant number, since it is smaller than the sum of its proper divisors (253349952).

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

142981248 is a wasteful number, since it uses less digits than its factorization.

142981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16217 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 142981248 is about 11957.4766568871. The cubic root of 142981248 is about 522.9092943122.

The spelling of 142981248 in words is "one hundred forty-two million, nine hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 16189 32378 48567 64756 97134 129512 194268 259024 372347 388536 518048 744694 777072 1036096 1117041 1489388 1554144 2072192 2234082 2978776 3108288 4468164 5957552 6216576 8936328 11915104 17872656 23830208 35745312 47660416 71490624 142981248