Search a number
-
+
42212256 = 2531672633
BaseRepresentation
bin1010000100000…
…1101110100000
32221102121022220
42201001232200
541301243011
64104431040
71021540542
oct241015640
987377286
1042212256
1121911769
1212178480
13898c788
14586b692
153a8c506
hex2841ba0

42212256 has 48 divisors (see below), whose sum is σ = 111513024. Its totient is φ = 13981184.

The previous prime is 42212237. The next prime is 42212267. The reversal of 42212256 is 65221224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14716 + ... + 17348.

It is an arithmetic number, because the mean of its divisors is an integer number (2323188).

Almost surely, 242212256 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 42212256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55756512).

42212256 is an abundant number, since it is smaller than the sum of its proper divisors (69300768).

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

42212256 is a wasteful number, since it uses less digits than its factorization.

42212256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2805 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 42212256 is about 6497.0959666608. The cubic root of 42212256 is about 348.1872423457.

The spelling of 42212256 in words is "forty-two million, two hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2633 2672 4008 5266 5344 7899 8016 10532 15798 16032 21064 31596 42128 63192 84256 126384 252768 439711 879422 1319133 1758844 2638266 3517688 5276532 7035376 10553064 14070752 21106128 42212256