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142391952 = 2433477013
BaseRepresentation
bin10000111110010…
…11101010010000
3100220221021001000
420133023222100
5242423020302
622043542000
73346211613
oct1037135220
9326837030
10142391952
11734161aa
123b82a900
1323666cc1
1414ca817a
15c77a31c
hex87cba90

142391952 has 80 divisors (see below), whose sum is σ = 417473280. Its totient is φ = 46447488.

The previous prime is 142391933. The next prime is 142391969. The reversal of 142391952 is 259193241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 16798 + ... + 23810.

It is an arithmetic number, because the mean of its divisors is an integer number (5218416).

Almost surely, 2142391952 is an apocalyptic number.

142391952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208736640).

142391952 is an abundant number, since it is smaller than the sum of its proper divisors (275081328).

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

142391952 is a wasteful number, since it uses less digits than its factorization.

142391952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7065 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 142391952 is about 11932.8098954102. The cubic root of 142391952 is about 522.1899163624.

The spelling of 142391952 in words is "one hundred forty-two million, three hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 7013 10152 14026 20304 21039 28052 42078 56104 63117 84156 112208 126234 168312 189351 252468 329611 336624 378702 504936 659222 757404 988833 1009872 1318444 1514808 1977666 2636888 2966499 3029616 3955332 5273776 5932998 7910664 8899497 11865996 15821328 17798994 23731992 35597988 47463984 71195976 142391952