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142848768 = 283238087
BaseRepresentation
bin10001000001110…
…11001100000000
3100221210110200010
420200323030000
5243032130033
622101424520
73353123466
oct1040731400
9327713603
10142848768
11736a8437
123ba0b140
1323796bca
1414d86836
15c81a863
hex883b300

142848768 has 72 divisors (see below), whose sum is σ = 396764928. Its totient is φ = 45540352.

The previous prime is 142848737. The next prime is 142848779. The reversal of 142848768 is 867848241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13621 + ... + 21707.

It is an arithmetic number, because the mean of its divisors is an integer number (5510624).

Almost surely, 2142848768 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 142848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198382464).

142848768 is an abundant number, since it is smaller than the sum of its proper divisors (253916160).

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

142848768 is an equidigital number, since it uses as much as digits as its factorization.

142848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8129 (or 8115 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 142848768 is about 11951.9357427992. The cubic root of 142848768 is about 522.7477429876.

The spelling of 142848768 in words is "one hundred forty-two million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8087 8832 16174 17664 24261 32348 48522 64696 97044 129392 186001 194088 258784 372002 388176 517568 558003 744004 776352 1035136 1116006 1488008 1552704 2070272 2232012 2976016 3105408 4464024 5952032 6210816 8928048 11904064 17856096 23808128 35712192 47616256 71424384 142848768