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42211460 = 22531103661
BaseRepresentation
bin1010000100000…
…1100010000100
32221102120020102
42201001202010
541301231320
64104423232
71021535324
oct241014204
987376212
1042211460
1121911105
1212177b18
13898c2c5
14586b284
153a8c175
hex2841884

42211460 has 48 divisors (see below), whose sum is σ = 92531712. Its totient is φ = 16156800.

The previous prime is 42211439. The next prime is 42211523. The reversal of 42211460 is 6411224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63530 + ... + 64190.

It is an arithmetic number, because the mean of its divisors is an integer number (1927744).

Almost surely, 242211460 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 42211460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46265856).

42211460 is an abundant number, since it is smaller than the sum of its proper divisors (50320252).

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

42211460 is a wasteful number, since it uses less digits than its factorization.

42211460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42211460 is about 6497.0347082342. The cubic root of 42211460 is about 348.1850537334.

Adding to 42211460 its reverse (6411224), we get a palindrome (48622684).

The spelling of 42211460 in words is "forty-two million, two hundred eleven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 206 310 412 515 620 661 1030 1322 2060 2644 3193 3305 6386 6610 12772 13220 15965 20491 31930 40982 63860 68083 81964 102455 136166 204910 272332 340415 409820 680830 1361660 2110573 4221146 8442292 10552865 21105730 42211460