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142292992 = 211176167
BaseRepresentation
bin10000111101100…
…11100000000000
3100220202020021211
420132303200000
5242411333432
622041455504
73345320242
oct1036634000
9326666254
10142292992
1173358916
123b7a1594
1323630c4a
1414c80092
15c75ad47
hex87b3800

142292992 has 96 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 64880640.

The previous prime is 142292989. The next prime is 142292993. The reversal of 142292992 is 299292241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142292993) 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, 2123743 + ... + 2123809.

Almost surely, 2142292992 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 142292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

142292992 is an abundant number, since it is smaller than the sum of its proper divisors (168468368).

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

142292992 is an equidigital number, since it uses as much as digits as its factorization.

142292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 142292992 is about 11928.6626241168. The cubic root of 142292992 is about 522.0689172720.

The spelling of 142292992 in words is "one hundred forty-two million, two hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 67 68 122 128 134 136 244 256 268 272 488 512 536 544 976 1024 1037 1072 1088 1139 1952 2048 2074 2144 2176 2278 3904 4087 4148 4288 4352 4556 7808 8174 8296 8576 8704 9112 15616 16348 16592 17152 17408 18224 31232 32696 33184 34304 34816 36448 62464 65392 66368 68608 69479 72896 124928 130784 132736 137216 138958 145792 261568 265472 277916 291584 523136 530944 555832 583168 1046272 1061888 1111664 1166336 2092544 2123776 2223328 2332672 4185088 4446656 8370176 8893312 17786624 35573248 71146496 142292992