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153852438 = 23371136133
BaseRepresentation
bin10010010101110…
…01101000010110
3101201111111212110
421022321220112
5303341234223
623133331450
73545503245
oct1112715026
9351444773
10153852438
1179933683
1243636b86
1325b4a55c
141660c95c
15d790d93
hex92b9a16

153852438 has 32 divisors (see below), whose sum is σ = 318869856. Its totient is φ = 49448448.

The previous prime is 153852437. The next prime is 153852449. The reversal of 153852438 is 834258351.

It is a junction number, because it is equal to n+sod(n) for n = 153852396 and 153852405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153852437) 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, 22020 + ... + 28152.

It is an arithmetic number, because the mean of its divisors is an integer number (9964683).

Almost surely, 2153852438 is an apocalyptic number.

153852438 is an abundant number, since it is smaller than the sum of its proper divisors (165017418).

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

153852438 is a wasteful number, since it uses less digits than its factorization.

153852438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288.

The product of its digits is 115200, while the sum is 39.

The square root of 153852438 is about 12403.7267786742. The cubic root of 153852438 is about 535.8395854516.

It can be divided in two parts, 153852 and 438, that added together give a triangular number (154290 = T555).

The spelling of 153852438 in words is "one hundred fifty-three million, eight hundred fifty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 37 74 111 113 222 226 339 678 4181 6133 8362 12266 12543 18399 25086 36798 226921 453842 680763 693029 1361526 1386058 2079087 4158174 25642073 51284146 76926219 153852438