Search a number
-
+
155685348 = 223372133173
BaseRepresentation
bin10010100011110…
…01000111100100
3101211221122011000
421101321013210
5304323412343
623240513300
73600206100
oct1121710744
9354848130
10155685348
117a975785
124417b830
132633c910
1416968900
15da03ed3
hex94791e4

155685348 has 288 divisors, whose sum is σ = 529105920. Its totient is φ = 39191040.

The previous prime is 155685347. The next prime is 155685349. The reversal of 155685348 is 843586551.

155685348 is a `hidden beast` number, since 1 + 55 + 68 + 534 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (155685347) and next prime (155685349).

It is a super-2 number, since 2×1556853482 = 48475855163762208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (576000) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (155685347) 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 95 ways as a sum of consecutive naturals, for example, 2132640 + ... + 2132712.

Almost surely, 2155685348 is an apocalyptic number.

155685348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155685348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264552960).

155685348 is an abundant number, since it is smaller than the sum of its proper divisors (373420572).

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

155685348 is a wasteful number, since it uses less digits than its factorization.

155685348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 155685348 is about 12477.3934778062. The cubic root of 155685348 is about 537.9590862692.

The spelling of 155685348 in words is "one hundred fifty-five million, six hundred eighty-five thousand, three hundred forty-eight".