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442625064 = 233719236029
BaseRepresentation
bin11010011000011…
…110110000101000
31010211212200102220
4122120132300220
51401303000224
6111530554040
713653152040
oct3230366050
91124780386
10442625064
11207939842
12104298920
1370916c2b
1442adc720
1528cd3279
hex1a61ec28

442625064 has 128 divisors (see below), whose sum is σ = 1389312000. Its totient is φ = 114580224.

The previous prime is 442625059. The next prime is 442625069. The reversal of 442625064 is 460526244.

It is an interprime number because it is at equal distance from previous prime (442625059) and next prime (442625069).

It is not an unprimeable number, because it can be changed into a prime (442625069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70402 + ... + 76430.

It is an arithmetic number, because the mean of its divisors is an integer number (10854000).

Almost surely, 2442625064 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 442625064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694656000).

442625064 is an abundant number, since it is smaller than the sum of its proper divisors (946686936).

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

442625064 is a wasteful number, since it uses less digits than its factorization.

442625064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 442625064 is about 21038.6564209790. The cubic root of 442625064 is about 762.1000688359.

The spelling of 442625064 in words is "four hundred forty-two million, six hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 23 24 28 38 42 46 56 57 69 76 84 92 114 133 138 152 161 168 184 228 266 276 322 399 437 456 483 532 552 644 798 874 966 1064 1288 1311 1596 1748 1932 2622 3059 3192 3496 3864 5244 6029 6118 9177 10488 12058 12236 18087 18354 24116 24472 36174 36708 42203 48232 72348 73416 84406 114551 126609 138667 144696 168812 229102 253218 277334 337624 343653 416001 458204 506436 554668 687306 801857 832002 916408 970669 1012872 1109336 1374612 1603714 1664004 1941338 2405571 2634673 2749224 2912007 3207428 3328008 3882676 4811142 5269346 5824014 6414856 7765352 7904019 9622284 10538692 11648028 15808038 18442711 19244568 21077384 23296056 31616076 36885422 55328133 63232152 73770844 110656266 147541688 221312532 442625064