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42277224 = 23311160141
BaseRepresentation
bin1010000101000…
…1100101101000
32221112220110010
42201101211220
541310332344
64110051520
71022231133
oct241214550
987486403
1042277224
1121956560
12121a9ba0
1389b3212
14588721a
153aa18b9
hex2851968

42277224 has 32 divisors (see below), whose sum is σ = 115302240. Its totient is φ = 12811200.

The previous prime is 42277189. The next prime is 42277247.

42277224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42277191 and 42277200.

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, 79807 + ... + 80334.

It is an arithmetic number, because the mean of its divisors is an integer number (3603195).

Almost surely, 242277224 is an apocalyptic number.

42277224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42277224 is an abundant number, since it is smaller than the sum of its proper divisors (73025016).

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

42277224 is a wasteful number, since it uses less digits than its factorization.

42277224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160161 (or 160157 counting only the distinct ones).

The product of its digits is 12544, while the sum is 30.

The square root of 42277224 is about 6502.0938166102. The cubic root of 42277224 is about 348.3657800157.

The spelling of 42277224 in words is "forty-two million, two hundred seventy-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 160141 320282 480423 640564 960846 1281128 1761551 1921692 3523102 3843384 5284653 7046204 10569306 14092408 21138612 42277224