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4195350528 = 21133122027
BaseRepresentation
bin1111101000001111…
…1111100000000000
3101211101021212222220
43322003333200000
532043002204103
61532144531040
7205651614435
oct37203774000
911741255886
104195350528
111863190a46
12991020a80
1351b23b645
142bb285b8c
151984b1c53
hexfa0ff800

4195350528 has 96 divisors (see below), whose sum is σ = 11546196480. Its totient is φ = 1353277440.

The previous prime is 4195350479. The next prime is 4195350539. The reversal of 4195350528 is 8250535914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4195350528.

It is a congruent number.

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, 179451 + ... + 201477.

It is an arithmetic number, because the mean of its divisors is an integer number (120272880).

Almost surely, 24195350528 is an apocalyptic number.

4195350528 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 4195350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773098240).

4195350528 is an abundant number, since it is smaller than the sum of its proper divisors (7350845952).

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

4195350528 is a wasteful number, since it uses less digits than its factorization.

4195350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 4195350528 is about 64771.5255957431. The cubic root of 4195350528 is about 1612.8330618065.

The spelling of 4195350528 in words is "four billion, one hundred ninety-five million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 5952 6144 7936 11904 15872 22027 23808 31744 44054 47616 63488 66081 88108 95232 132162 176216 190464 264324 352432 528648 682837 704864 1057296 1365674 1409728 2048511 2114592 2731348 2819456 4097022 4229184 5462696 5638912 8194044 8458368 10925392 11277824 16388088 16916736 21850784 22555648 32776176 33833472 43701568 45111296 65552352 67666944 87403136 131104704 135333888 174806272 262209408 349612544 524418816 699225088 1048837632 1398450176 2097675264 4195350528