Search a number
-
+
153253419 = 31117436353
BaseRepresentation
bin10010010001001…
…11011000101011
3101200101002011120
421020213120223
5303213102134
623112430323
73540426654
oct1110473053
9350332146
10153253419
1179564620
12433a83a3
132599a9c7
14164d452b
15d6c3649
hex922762b

153253419 has 32 divisors (see below), whose sum is σ = 241553664. Its totient is φ = 85370880.

The previous prime is 153253361. The next prime is 153253421. The reversal of 153253419 is 914352351.

It is not a de Polignac number, because 153253419 - 215 = 153220651 is a prime.

It is a super-2 number, since 2×1532534192 = 46973220870379122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 153253419.

It is not an unprimeable number, because it can be changed into a prime (153253459) 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 31 ways as a sum of consecutive naturals, for example, 20947 + ... + 27299.

It is an arithmetic number, because the mean of its divisors is an integer number (7548552).

Almost surely, 2153253419 is an apocalyptic number.

153253419 is a deficient number, since it is larger than the sum of its proper divisors (88300245).

153253419 is a wasteful number, since it uses less digits than its factorization.

153253419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427.

The product of its digits is 16200, while the sum is 33.

The square root of 153253419 is about 12379.5564944791. The cubic root of 153253419 is about 535.1432568299.

The spelling of 153253419 in words is "one hundred fifty-three million, two hundred fifty-three thousand, four hundred nineteen".

Divisors: 1 3 11 17 33 43 51 129 187 473 561 731 1419 2193 6353 8041 19059 24123 69883 108001 209649 273179 324003 819537 1188011 3004969 3564033 4644043 9014907 13932129 51084473 153253419