Search a number
-
+
158249952 = 2532778497
BaseRepresentation
bin10010110111010…
…11001111100000
3102000202221010100
421123223033200
5311002444302
623411502400
73631050060
oct1133531740
9360687110
10158249952
1181367593
1244bb7a00
1326a2a033
14170353a0
15dd5dd1c
hex96eb3e0

158249952 has 72 divisors (see below), whose sum is σ = 514318896. Its totient is φ = 45213696.

The previous prime is 158249941. The next prime is 158249953. The reversal of 158249952 is 259942851.

It is a happy number.

158249952 is a `hidden beast` number, since 158 + 2 + 499 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 158249898 and 158249907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158249953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37233 + ... + 41264.

It is an arithmetic number, because the mean of its divisors is an integer number (7143318).

Almost surely, 2158249952 is an apocalyptic number.

158249952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

158249952 is an abundant number, since it is smaller than the sum of its proper divisors (356068944).

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

158249952 is a wasteful number, since it uses less digits than its factorization.

158249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78520 (or 78509 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 158249952 is about 12579.7437175803. The cubic root of 158249952 is about 540.8969455533.

It can be divided in two parts, 158249 and 952, that added together give a square (159201 = 3992).

The spelling of 158249952 in words is "one hundred fifty-eight million, two hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 78497 156994 235491 313988 470982 549479 627976 706473 941964 1098958 1255952 1412946 1648437 1883928 2197916 2511904 2825892 3296874 3767856 4395832 4945311 5651784 6593748 7535712 8791664 9890622 11303568 13187496 17583328 19781244 22607136 26374992 39562488 52749984 79124976 158249952