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155046144 = 2831118353
BaseRepresentation
bin10010011110111…
…01000100000000
3101210202011022210
421033131010000
5304142434034
623215102120
73561604401
oct1117350400
9353664283
10155046144
117a579510
1243b11940
13261779a6
141683d9a8
15d9298e9
hex93dd100

155046144 has 72 divisors (see below), whose sum is σ = 450186912. Its totient is φ = 46981120.

The previous prime is 155046139. The next prime is 155046149. The reversal of 155046144 is 441640551.

155046144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155046139) and next prime (155046149).

It is not an unprimeable number, because it can be changed into a prime (155046149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 17624.

It is an arithmetic number, because the mean of its divisors is an integer number (6252596).

Almost surely, 2155046144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225093456).

155046144 is an abundant number, since it is smaller than the sum of its proper divisors (295140768).

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

155046144 is a wasteful number, since it uses less digits than its factorization.

155046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18369 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 155046144 is about 12451.7526477199. The cubic root of 155046144 is about 537.2218358075.

Adding to 155046144 its reverse (441640551), we get a palindrome (596686695).

The spelling of 155046144 in words is "one hundred fifty-five million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 18353 36706 55059 73412 110118 146824 201883 220236 293648 403766 440472 587296 605649 807532 880944 1174592 1211298 1615064 1761888 2349184 2422596 3230128 3523776 4698368 4845192 6460256 7047552 9690384 12920512 14095104 19380768 25841024 38761536 51682048 77523072 155046144