Search a number
-
+
1157083893 = 33723972203
BaseRepresentation
bin100010011110111…
…1011001011110101
32222122020221201000
41010331323023311
54332203141033
6310452153513
740450023300
oct10475731365
92878227630
101157083893
11544164289
12283608899
13155949534
14ad95bb37
156b8aea13
hex44f7b2f5

1157083893 has 48 divisors (see below), whose sum is σ = 1999997760. Its totient is φ = 659225952.

The previous prime is 1157083883. The next prime is 1157083901. The reversal of 1157083893 is 3983807511.

It is not a de Polignac number, because 1157083893 - 224 = 1140306677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157083853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524130 + ... + 526332.

It is an arithmetic number, because the mean of its divisors is an integer number (41666620).

Almost surely, 21157083893 is an apocalyptic number.

It is an amenable number.

1157083893 is a deficient number, since it is larger than the sum of its proper divisors (842913867).

1157083893 is a wasteful number, since it uses less digits than its factorization.

1157083893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1157083893 is about 34015.9358683544. The cubic root of 1157083893 is about 1049.8363745029.

The spelling of 1157083893 in words is "one billion, one hundred fifty-seven million, eighty-three thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 397 441 1191 1323 2203 2779 3573 6609 8337 10719 15421 19453 19827 25011 46263 58359 59481 75033 107947 138789 175077 323841 416367 525231 874591 971523 2623773 2914569 6122137 7871319 18366411 23613957 42854959 55099233 128564877 165297699 385694631 1157083893