Search a number
-
+
158237856 = 25327211213
BaseRepresentation
bin10010110111010…
…00010010100000
3102000202022112100
421123220102200
5311002102411
623411330400
73630666600
oct1133502240
9360668470
10158237856
1181359497
1244bb0a00
1326a2468a
1417030c00
15dd5a456
hex96e84a0

158237856 has 108 divisors (see below), whose sum is σ = 523503162. Its totient is φ = 45206784.

The previous prime is 158237839. The next prime is 158237867. The reversal of 158237856 is 658732851.

It can be written as a sum of positive squares in only one way, i.e., 156650256 + 1587600 = 12516^2 + 1260^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8506 + ... + 19718.

Almost surely, 2158237856 is an apocalyptic number.

158237856 is a gapful number since it is divisible by the number (16) 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 158237856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261751581).

158237856 is an abundant number, since it is smaller than the sum of its proper divisors (365265306).

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

158237856 is a wasteful number, since it uses less digits than its factorization.

158237856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11243 (or 11225 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 158237856 is about 12579.2629354823. The cubic root of 158237856 is about 540.8831638616.

The spelling of 158237856 in words is "one hundred fifty-eight million, two hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 11213 14112 22426 33639 44852 67278 78491 89704 100917 134556 156982 179408 201834 235473 269112 313964 358816 403668 470946 538224 549437 627928 706419 807336 941892 1076448 1098874 1255856 1412838 1614672 1648311 1883784 2197748 2511712 2825676 3229344 3296622 3767568 4395496 4944933 5651352 6593244 7535136 8790992 9889866 11302704 13186488 17581984 19779732 22605408 26372976 39559464 52745952 79118928 158237856