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142382292 = 223138231109
BaseRepresentation
bin10000111110010…
…01010011010100
3100220220202210020
420133021103110
5242422213132
622043425140
73346141503
oct1037112324
9326822706
10142382292
1173409a18
123b8251b0
13236627a0
1414ca483a
15c77752c
hex87c94d4

142382292 has 48 divisors (see below), whose sum is σ = 358538880. Its totient is φ = 43717248.

The previous prime is 142382291. The next prime is 142382297. The reversal of 142382292 is 292283241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142382291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127834 + ... + 128942.

It is an arithmetic number, because the mean of its divisors is an integer number (7469560).

Almost surely, 2142382292 is an apocalyptic number.

142382292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142382292 is an abundant number, since it is smaller than the sum of its proper divisors (216156588).

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

142382292 is a wasteful number, since it uses less digits than its factorization.

142382292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 142382292 is about 11932.4051221872. The cubic root of 142382292 is about 522.1781074819.

The spelling of 142382292 in words is "one hundred forty-two million, three hundred eighty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 823 1109 1646 2218 2469 3292 3327 4436 4938 6654 9876 10699 13308 14417 21398 28834 32097 42796 43251 57668 64194 86502 128388 173004 912707 1825414 2738121 3650828 5476242 10952484 11865191 23730382 35595573 47460764 71191146 142382292