Search a number
-
+
155144268 = 22334792999
BaseRepresentation
bin10010011111101…
…01000001001100
3101210221010221000
421033311001030
5304204104033
623221140300
73562463436
oct1117650114
9353833830
10155144268
117a636204
1243b5a690
13261b0556
1416867656
15d948a13
hex93f504c

155144268 has 48 divisors (see below), whose sum is σ = 403200000. Its totient is φ = 51589584.

The previous prime is 155144267. The next prime is 155144273. The reversal of 155144268 is 862441551.

It is a happy number.

155144268 is a `hidden beast` number, since 1 + 551 + 4 + 42 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155144263) 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, 50233 + ... + 53231.

It is an arithmetic number, because the mean of its divisors is an integer number (8400000).

Almost surely, 2155144268 is an apocalyptic number.

155144268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

155144268 is an abundant number, since it is smaller than the sum of its proper divisors (248055732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155144268 is a wasteful number, since it uses less digits than its factorization.

155144268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3483 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 155144268 is about 12455.6921927286. The cubic root of 155144268 is about 537.3351423745.

The spelling of 155144268 in words is "one hundred fifty-five million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 479 958 1437 1916 2874 2999 4311 5748 5998 8622 8997 11996 12933 17244 17994 25866 26991 35988 51732 53982 80973 107964 161946 323892 1436521 2873042 4309563 5746084 8619126 12928689 17238252 25857378 38786067 51714756 77572134 155144268