Search a number
-
+
42212544 = 2631122379
BaseRepresentation
bin1010000100000…
…1110011000000
32221102121201120
42201001303000
541301300134
64104432240
71021541433
oct241016300
987377646
1042212544
1121911a00
1212178680
13898c94a
14586b81a
153a8c649
hex2841cc0

42212544 has 168 divisors, whose sum is σ = 129722880. Its totient is φ = 12080640.

The previous prime is 42212543. The next prime is 42212551. The reversal of 42212544 is 44521224.

It is a happy number.

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 (42212543) 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, 534297 + ... + 534375.

It is an arithmetic number, because the mean of its divisors is an integer number (772160).

Almost surely, 242212544 is an apocalyptic number.

42212544 is a gapful number since it is divisible by the number (44) 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 42212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64861440).

42212544 is an abundant number, since it is smaller than the sum of its proper divisors (87510336).

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

42212544 is a wasteful number, since it uses less digits than its factorization.

42212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 42212544 is about 6497.1181303713. The cubic root of 42212544 is about 348.1880341987.

Adding to 42212544 its reverse (44521224), we get a palindrome (86733768).

The spelling of 42212544 in words is "forty-two million, two hundred twelve thousand, five hundred forty-four".