Search a number
-
+
157597781 = 1121302461
BaseRepresentation
bin10010110010011…
…00000001010101
3101222112210111212
421121030001111
5310321112111
623345511205
73622362515
oct1131140125
9358483455
10157597781
1180a61600
1244942505
132685c233
1416d05845
15dc8098b
hex964c055

157597781 has 6 divisors (see below), whose sum is σ = 173227446. Its totient is φ = 143270600.

The previous prime is 157597717. The next prime is 157597787. The reversal of 157597781 is 187795751.

It can be written as a sum of positive squares in only one way, i.e., 144817156 + 12780625 = 12034^2 + 3575^2 .

It is not a de Polignac number, because 157597781 - 26 = 157597717 is a prime.

It is a super-2 number, since 2×1575977812 = 49674121152247922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157597787) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 651110 + ... + 651351.

It is an arithmetic number, because the mean of its divisors is an integer number (28871241).

Almost surely, 2157597781 is an apocalyptic number.

157597781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157597781 is a deficient number, since it is larger than the sum of its proper divisors (15629665).

157597781 is a wasteful number, since it uses less digits than its factorization.

157597781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302483 (or 1302472 counting only the distinct ones).

The product of its digits is 617400, while the sum is 50.

The square root of 157597781 is about 12553.7954818453. The cubic root of 157597781 is about 540.1528842378.

The spelling of 157597781 in words is "one hundred fifty-seven million, five hundred ninety-seven thousand, seven hundred eighty-one".

Divisors: 1 11 121 1302461 14327071 157597781