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42211350 = 23252194937
BaseRepresentation
bin1010000100000…
…1100000010110
32221102120002100
42201001200112
541301230400
64104422530
71021535106
oct241014026
987376070
1042211350
1121911015
1212177a46
13898c23c
14586b206
153a8c100
hex2841816

42211350 has 72 divisors (see below), whose sum is σ = 119400840. Its totient is φ = 10661760.

The previous prime is 42211349. The next prime is 42211361. The reversal of 42211350 is 5311224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6082 + ... + 11018.

It is an arithmetic number, because the mean of its divisors is an integer number (1658345).

Almost surely, 242211350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59700420).

42211350 is an abundant number, since it is smaller than the sum of its proper divisors (77189490).

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

42211350 is a wasteful number, since it uses less digits than its factorization.

42211350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42211350 is about 6497.0262428283. The cubic root of 42211350 is about 348.1847512849.

Adding to 42211350 its reverse (5311224), we get a palindrome (47522574).

The spelling of 42211350 in words is "forty-two million, two hundred eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 4937 8550 9874 14811 24685 29622 44433 49370 74055 88866 93803 123425 148110 187606 222165 246850 281409 370275 444330 469015 562818 740550 844227 938030 1110825 1407045 1688454 2221650 2345075 2814090 4221135 4690150 7035225 8442270 14070450 21105675 42211350