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152450441 = 11213175701
BaseRepresentation
bin10010001011000…
…11010110001001
3101121212021200122
421011203112021
5303011403231
623043313025
73530543633
oct1105432611
9347767618
10152450441
1179066300
124307b775
1325779380
1416365a53
15d5b577b
hex9163589

152450441 has 24 divisors (see below), whose sum is σ = 191108232. Its totient is φ = 120384000.

The previous prime is 152450411. The next prime is 152450453. The reversal of 152450441 is 144054251.

It can be written as a sum of positive squares in 4 ways, for example, as 40005625 + 112444816 = 6325^2 + 10604^2 .

It is not a de Polignac number, because 152450441 - 210 = 152449417 is a prime.

It is a super-2 number, since 2×1524504412 = 46482273922188962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152450441.

It is not an unprimeable number, because it can be changed into a prime (152450401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23891 + ... + 29591.

It is an arithmetic number, because the mean of its divisors is an integer number (7962843).

Almost surely, 2152450441 is an apocalyptic number.

152450441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152450441 is a deficient number, since it is larger than the sum of its proper divisors (38657791).

152450441 is a wasteful number, since it uses less digits than its factorization.

152450441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 152450441 is about 12347.0822869211. The cubic root of 152450441 is about 534.2069841976.

The spelling of 152450441 in words is "one hundred fifty-two million, four hundred fifty thousand, four hundred forty-one".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 5701 26741 62711 74113 96917 689821 815243 1066087 1259921 8967673 11726957 13859131 152450441