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142408992 = 25311134857
BaseRepresentation
bin10000111110011…
…11110100100000
3100220222010102010
420133033310200
5242424041432
622044152520
73346312365
oct1037176440
9326863363
10142408992
1173427a90
123b838740
132367199b
1414cb046c
15c7803cc
hex87cfd20

142408992 has 48 divisors (see below), whose sum is σ = 407810592. Its totient is φ = 43153920.

The previous prime is 142408979. The next prime is 142409021. The reversal of 142408992 is 299804241.

142408992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 142408992.

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, 66373 + ... + 68484.

It is an arithmetic number, because the mean of its divisors is an integer number (8496054).

Almost surely, 2142408992 is an apocalyptic number.

142408992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142408992 is an abundant number, since it is smaller than the sum of its proper divisors (265401600).

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

142408992 is a wasteful number, since it uses less digits than its factorization.

142408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134881 (or 134873 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 142408992 is about 11933.5238718494. The cubic root of 142408992 is about 522.2107456325.

It can be divided in two parts, 14240 and 8992, that added together give a palindrome (23232).

The spelling of 142408992 in words is "one hundred forty-two million, four hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 134857 269714 404571 539428 809142 1078856 1483427 1618284 2157712 2966854 3236568 4315424 4450281 5933708 6473136 8900562 11867416 12946272 17801124 23734832 35602248 47469664 71204496 142408992