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538480152 = 233273473079
BaseRepresentation
bin100000000110001…
…000111000011000
31101112020121220100
4200012020320120
52100322331102
6125233255400
716226001660
oct4006107030
91345217810
10538480152
11256a5a121
12130404560
1387738c12
14517311a0
1532419a1c
hex20188e18

538480152 has 96 divisors (see below), whose sum is σ = 1672070400. Its totient is φ = 153358272.

The previous prime is 538480147. The next prime is 538480153. The reversal of 538480152 is 251084835.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538480153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173349 + ... + 176427.

It is an arithmetic number, because the mean of its divisors is an integer number (17417400).

Almost surely, 2538480152 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 538480152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836035200).

538480152 is an abundant number, since it is smaller than the sum of its proper divisors (1133590248).

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

538480152 is a wasteful number, since it uses less digits than its factorization.

538480152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

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

The square root of 538480152 is about 23205.1751124614. The cubic root of 538480152 is about 813.5605852186.

It can be divided in two parts, 538 and 480152, that added together give a triangular number (480690 = T980).

The spelling of 538480152 in words is "five hundred thirty-eight million, four hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 347 504 694 1041 1388 2082 2429 2776 3079 3123 4164 4858 6158 6246 7287 8328 9237 9716 12316 12492 14574 18474 19432 21553 21861 24632 24984 27711 29148 36948 43106 43722 55422 58296 64659 73896 86212 87444 110844 129318 172424 174888 193977 221688 258636 387954 517272 775908 1068413 1551816 2136826 3205239 4273652 6410478 7478891 8547304 9615717 12820956 14957782 19231434 22436673 25641912 29915564 38462868 44873346 59831128 67310019 76925736 89746692 134620038 179493384 269240076 538480152