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153401557 = 1753891913
BaseRepresentation
bin10010010010010…
…11100011010101
3101200122121101011
421021023203111
5303232322212
623115532221
73541614601
oct1111134325
9350577334
10153401557
1179655951
124345a071
1325a2026a
1416532501
15d7024a7
hex924b8d5

153401557 has 16 divisors (see below), whose sum is σ = 167436720. Its totient is φ = 139988992.

The previous prime is 153401539. The next prime is 153401569. The reversal of 153401557 is 755104351.

It can be written as a sum of positive squares in 8 ways, for example, as 13830961 + 139570596 = 3719^2 + 11814^2 .

It is a cyclic number.

It is not a de Polignac number, because 153401557 - 211 = 153399509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153405557) 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 15 ways as a sum of consecutive naturals, for example, 79233 + ... + 81145.

It is an arithmetic number, because the mean of its divisors is an integer number (10464795).

Almost surely, 2153401557 is an apocalyptic number.

153401557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

153401557 is a deficient number, since it is larger than the sum of its proper divisors (14035163).

153401557 is a wasteful number, since it uses less digits than its factorization.

153401557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072.

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 153401557 is about 12385.5382200371. The cubic root of 153401557 is about 535.3156282372.

The spelling of 153401557 in words is "one hundred fifty-three million, four hundred one thousand, five hundred fifty-seven".

Divisors: 1 17 53 89 901 1513 1913 4717 32521 80189 101389 170257 1723613 2894369 9023621 153401557