Search a number
-
+
42531216 = 24372132107
BaseRepresentation
bin1010001000111…
…1100110010000
32222000210212020
42202033212100
541341444331
64115331440
71024336500
oct242174620
988023766
1042531216
112200a372
12122b0b80
138a71a00
145911a00
153b01c96
hex288f990

42531216 has 180 divisors, whose sum is σ = 139691952. Its totient is φ = 11112192.

The previous prime is 42531211. The next prime is 42531277. The reversal of 42531216 is 61213524.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42531211) 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 35 ways as a sum of consecutive naturals, for example, 397435 + ... + 397541.

Almost surely, 242531216 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 42531216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845976).

42531216 is an abundant number, since it is smaller than the sum of its proper divisors (97160736).

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

42531216 is a wasteful number, since it uses less digits than its factorization.

42531216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42531216 is about 6521.5961236495. The cubic root of 42531216 is about 349.0620218560.

The spelling of 42531216 in words is "forty-two million, five hundred thirty-one thousand, two hundred sixteen".