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42454464 = 2631373233
BaseRepresentation
bin1010000111110…
…0110111000000
32221212220120120
42201330313000
541332020324
64113540240
71023566643
oct241746700
987786516
1042454464
1121a67738
1212274680
138a45ab0
1458d1a5a
153ad9179
hex287cdc0

42454464 has 112 divisors (see below), whose sum is σ = 123151392. Its totient is φ = 12828672.

The previous prime is 42454427. The next prime is 42454471. The reversal of 42454464 is 46445424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182092 + ... + 182324.

It is an arithmetic number, because the mean of its divisors is an integer number (1099566).

Almost surely, 242454464 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 42454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61575696).

42454464 is an abundant number, since it is smaller than the sum of its proper divisors (80696928).

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

42454464 is a wasteful number, since it uses less digits than its factorization.

42454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 61440, while the sum is 33.

The square root of 42454464 is about 6515.7090174439. The cubic root of 42454464 is about 348.8519225232.

Adding to 42454464 its reverse (46445424), we get a palindrome (88899888).

The spelling of 42454464 in words is "forty-two million, four hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 146 156 192 208 219 233 292 312 416 438 466 584 624 699 832 876 932 949 1168 1248 1398 1752 1864 1898 2336 2496 2796 2847 3029 3504 3728 3796 4672 5592 5694 6058 7008 7456 7592 9087 11184 11388 12116 14016 14912 15184 17009 18174 22368 22776 24232 30368 34018 36348 44736 45552 48464 51027 60736 68036 72696 91104 96928 102054 136072 145392 182208 193856 204108 221117 272144 290784 408216 442234 544288 581568 663351 816432 884468 1088576 1326702 1632864 1768936 2653404 3265728 3537872 5306808 7075744 10613616 14151488 21227232 42454464