Search a number
-
+
157983192 = 233231371913
BaseRepresentation
bin10010110101010…
…10000111011000
3102000021101012100
421122222013120
5310420430232
623402043400
73625556253
oct1132520730
9360241170
10157983192
11811a5124
1244aa9560
13269657a3
1416da609a
15dd09c7c
hex96aa1d8

157983192 has 96 divisors (see below), whose sum is σ = 453847680. Its totient is φ = 49559040.

The previous prime is 157983191. The next prime is 157983211. The reversal of 157983192 is 291389751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157983191) 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 23 ways as a sum of consecutive naturals, for example, 81628 + ... + 83540.

It is an arithmetic number, because the mean of its divisors is an integer number (4727580).

Almost surely, 2157983192 is an apocalyptic number.

157983192 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 157983192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226923840).

157983192 is an abundant number, since it is smaller than the sum of its proper divisors (295864488).

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

157983192 is a wasteful number, since it uses less digits than its factorization.

157983192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 157983192 is about 12569.1364858530. The cubic root of 157983192 is about 540.5928468387.

The spelling of 157983192 in words is "one hundred fifty-seven million, nine hundred eighty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 1913 2232 2294 2664 3441 3826 4588 5739 6882 7652 9176 10323 11478 13764 15304 17217 20646 22956 27528 34434 41292 45912 59303 68868 70781 82584 118606 137736 141562 177909 212343 237212 283124 355818 424686 474424 533727 566248 637029 711636 849372 1067454 1274058 1423272 1698744 2134908 2194211 2548116 4269816 4388422 5096232 6582633 8776844 13165266 17553688 19747899 26330532 39495798 52661064 78991596 157983192