Search a number
-
+
445383648 = 253297107149
BaseRepresentation
bin11010100011000…
…000001111100000
31011001001211111200
4122203000033200
51403004234043
6112110041200
714015461413
oct3243001740
91131054450
10445383648
11209453366
121051a9200
1371371728
1443219b7a
152917a7d3
hex1a8c03e0

445383648 has 144 divisors (see below), whose sum is σ = 1300244400. Its totient is φ = 144580608.

The previous prime is 445383647. The next prime is 445383649. The reversal of 445383648 is 846383544.

445383648 is a `hidden beast` number, since 44 + 538 + 36 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (445383647) and next prime (445383649).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445383641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2989078 + ... + 2989226.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2445383648 is an apocalyptic number.

445383648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650122200).

445383648 is an abundant number, since it is smaller than the sum of its proper divisors (854860752).

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

445383648 is a wasteful number, since it uses less digits than its factorization.

445383648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 445383648 is about 21104.1144803567. The cubic root of 445383648 is about 763.6800099976.

The spelling of 445383648 in words is "four hundred forty-five million, three hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 107 144 149 194 214 288 291 298 321 388 428 447 582 596 642 776 856 873 894 963 1164 1192 1284 1341 1552 1712 1746 1788 1926 2328 2384 2568 2682 3104 3424 3492 3576 3852 4656 4768 5136 5364 6984 7152 7704 9312 10272 10379 10728 13968 14304 14453 15408 15943 20758 21456 27936 28906 30816 31137 31886 41516 42912 43359 47829 57812 62274 63772 83032 86718 93411 95658 115624 124548 127544 130077 143487 166064 173436 186822 191316 231248 249096 255088 260154 286974 332128 346872 373644 382632 462496 498192 510176 520308 573948 693744 747288 765264 996384 1040616 1147896 1387488 1494576 1530528 1546471 2081232 2295792 2989152 3092942 4162464 4591584 4639413 6185884 9278826 12371768 13918239 18557652 24743536 27836478 37115304 49487072 55672956 74230608 111345912 148461216 222691824 445383648